MATH GROUP TASK

SPHERE

Name of Group : Georg Carton

1. Risa Rahmatia Firsta2. Abdul Khoir3. M.Naufal Rifqi4. K.Muhammad Rafli Pasha

Finding the formula for the volume of sphere1. Prepare four containers. One

is hemisphrerical and the other is cylinder with their radii r and cylinder height is 2r.

2. Fill up the hemisphrerical with some flour until it is full, and then pour out the flour into the cylinder container. How many times do you have to fill up the hemisphrerical until the cylinder container gets full?

3. Based on the activity, can you determine the volume of sphere?

1. V = 4/3 ∙ 3,14 ∙ 103  = 4.186,67

2.Volume gambar 2

3. Wakingup space on the image (III) is a ball that is cut in half 40/360 parts. So that its volume can be determined as follows.

Question4. A hot air balloon if filled with

helium. Find the volume of gas needed to fill a balloon with a diameter of 30 m.

ANSWER

Solution : D = 30 m, r = 15 mV = 4/3* π*r³ = 4/3 * 3,14 * 15³ = 4/3 * 3,14 * 3375 = 4/3 * 10597,5 = 14130 m³

6. The Volume of a sphere is 1,437⅓ cm³ . Find the radius of the sphere with π ≈ 22/7.

ANSWER

V = 4/3 * π * r³ 1,437⅓ = 4/3 * 22/7 * r³r³ = 1,437⅓ : 88/21r³ = 4.312/3 * 21/88r³ = 4,312 * 7/88r³ = 49 * 7r³ = 343r = 7Thus, the radius of sphere is 7 cm