Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles...
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Transcript of Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles...
![Page 1: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/1.jpg)
Zero Gravity Geometrycreated by Brent Melton
Teachers STUDENTS
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Audience
• Grades 9-10• Geometry Students• Students are learning about the area and
volume of circles and spheres.• Wealthy community
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Environment
• Student should complete individually• Computer lab or a classroom with a computer• Student should not be bothered until the
student has completed the program• Student will need a scientific calculator
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Objectives
1. Given a diagram of a circle, students should be able to compute the circumference, radius, diameter, and area correctly.
2. Given a diagram of a sphere, students should be able to compute the volume and surface area correctly.
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= go on / next page
= go back / previous page
= help video
= menu page
Help!
= helper / hints
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Area
Radius
Circumference
Volume
Diameter
Quiz Take the quiz after visiting all topics.
Click on a planet to learn about the topic!
Surface Area
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Surface Area is the amount it would take to cover the outer region, or shell, of a sphere.
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The formula for the Surface Area of a sphere is 4pr2.
r = radius
This is similar to the formula for Area just with a 4 in front.
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Practice your understanding.
Find the Surface Area of the Sun. 1,934,881,000,000pkm2
2,782,000pkm2
695,500pkm2
483,720,250,000pkm2
AB
C
D
1,391,000km
Hint: The formula for SA is 4pr2
Try Again!
Try Again!
Correct!
Try Again!
![Page 10: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/10.jpg)
Click on the play button to see how to do the problem.
![Page 11: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/11.jpg)
Area is the amount of space that fills a circle.
For instance, it’s going to take so many square inches of coloring to fill this circle.
![Page 12: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/12.jpg)
The equation for the Area of a circle is pr2.
r = radius
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Practice your understanding.
Find the Area of Venus. 12,103.6pkm2
110.016pkm2
146,497,132.96pkm2
585,988,531.84pkm2
A
BC
D
12,103.6km
Hint: The Area of a circle is pr2.
Try Again!
Try Again!
Correct!
Try Again!
![Page 14: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/14.jpg)
Click on the play button to see how to do the problem.
![Page 15: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/15.jpg)
Radius is used for almost every equation with a circular or spherical shape.
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Radius is the length from the outside of a circle or
sphere to the centermost point.
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Practice your understanding.
Find the Radius of Earth. 12,756.2km 6,378.1km 12,756.2pkm 6,378pkm
A
BC
D
Hint: The Radius is half of the diameter.
12,756.2km
Try Again!
Try Again!
Correct!Try
Again!
![Page 18: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/18.jpg)
Click on the play button to see how to do the problem.
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Diameter is used alternatively in almost every circular or spherical formula.
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Diameter is the length across the circle or sphere.
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Practice your understanding.
Find the Diameter of Neptune. 24,764pkm 24,764km 49,528pkm 49,528km
A
BC
D
Hint: The Diameter is twice the length of the radius.
24,764km
Try Again!Try
Again!Try
Again!Correct!
![Page 22: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/22.jpg)
Click on the play button to see how to do the problem.
![Page 23: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/23.jpg)
Circumference is the measurement of the entire outer length of a circle.
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The formula for the circumference of a circle is 2pr or
dp.d = diameter
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Practice your understanding.
Find the Circumference of Jupiter. 142,984km 71,492pkm 142,984pkm 71,492km
A
BC
D
Hint: The formula for Circumference is dp.
142,984km
Try Again!
Try Again!
Correct!
Try Again!
![Page 26: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/26.jpg)
Click on the play button to see how to do the problem.
![Page 27: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/27.jpg)
Volume is the measurement of space that can fill a sphere.
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The formula for the Volume of a sphere
is 4/3pr3.r = radius
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Practice your understanding.
Find the Volume of Saturn. 291,876,463,425,110pkm3
218,907,347,568,832pkm3
2,335,011,707,400,900pkm3
1,751,258,780,550,656pkm3
A
BC
D
Hint: The formula for Volume of a sphere is 4/3pr3.
120,536km
Try Again!
Try Again!
Correct!
Try Again!
![Page 30: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/30.jpg)
Click on the play button to see how to do the problem.
![Page 31: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/31.jpg)
Quiz Time! Now you’ll take a short six question
quiz on all of the topics we just covered.
Good Luck!
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1. Find the radius of Venus.
A
BC
D
24,207.2km12,103.6km24,207.2pkm12,103.6pkm
24,207.2km
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Great Job!
You answered correctly.
![Page 34: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/34.jpg)
Bummer…You answered incorrectly.
Try Again!
This is the diameter.
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Bummer…You answered incorrectly.
Try Again!
Radius doesn’t have pi in it.
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2. Find the diameter of Jupiter.
A
BC
D
142,984pkm71,492km71,492pkm142,984km
71,492km
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Awesome!
You answered correctly.
![Page 38: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/38.jpg)
Wrong…You answered incorrectly.
Try Again!
This is the radius.
![Page 39: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/39.jpg)
Wrong…You answered incorrectly.
Try Again!
Diameter doesn’t have pi in it.
![Page 40: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/40.jpg)
3. Find the circumference of Earth.
A
BC
D
12,756.2km6,378.1km6,378.1pkm12,756.2pkm
6,378.1km
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Good Job!
You answered correctly.
![Page 42: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/42.jpg)
That’s not right…You answered incorrectly.
Try Again!
You must multiply the radius by two.
![Page 43: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/43.jpg)
That’s not right…You answered incorrectly.
Try Again!
You must multiply by pi.
![Page 44: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/44.jpg)
4. Find the area of Neptune.
A
BC
D
49,528pkm2
613,255,696pkm2
24,764pkm2
2,453,022,784pkm2
49,528km
![Page 45: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/45.jpg)
Stupendous!
You answered correctly.
![Page 46: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/46.jpg)
Incorrect…You answered incorrectly.
Try Again!
You must square the radius.
![Page 47: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/47.jpg)
Incorrect…You answered incorrectly.
Try Again!
You must divide the diameter in half, then square
it.
![Page 48: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/48.jpg)
5. Find the surface area of Saturn.
A
BC
D
241,072pkm2
482,144pkm2
58,115,709,184pkm2
14,528,927,296pkm2
120,536km
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Fantastic!
You answered correctly.
![Page 50: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/50.jpg)
Incorrect…You answered incorrectly.
Try Again!
You must square the radius, then multiply
by 4.
![Page 51: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/51.jpg)
6. Find the volume of the Sun.
A
BC
D
3,588,559,294,666,700,000pkm3
336,427,433,875,000,000pkm3
448,569,911,833,330,000pkm3
2,691,419,471,000,000,000,pkm3
1,391,000km
![Page 52: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/52.jpg)
Not Quite…You answered incorrectly.
Try Again!
You must cube the radius, then multiply by
4/3.
![Page 53: Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community.](https://reader036.fdocuments.in/reader036/viewer/2022062322/56649f445503460f94c653eb/html5/thumbnails/53.jpg)
Marvelous!You answered correctly.
You are done with this program. You may practice this program again, by pressing the menu button, or quit, by clicking
anywhere.