Question

1. Find the volume for 5 different spheres by randomly choosing different radii.

Using the same radii values, find the volume of 5 cylinders where the height of the cylinder is the same as the diameter of the sphere.

Answer 1

The volume of the sphere is given by :

V=
`(4)/(3)\pi r^(3)`

And volume of cylinder is given as :

V=
`\pi r^(2)h`

So, as given to select the radius randomly and the height of the cylinder will be the diameter of the sphere.

The radius are = 3, 5, 8, 10, 12

And height will be = 6, 10, 16, 20, 24

1. Volume of sphere with radius 3 =
`(4)/(3)*3.14*3*3*3= 113.04` units

Volume of cylinder with radius 3 and height 6 =
`3.14*3*3*6=169.56` units

2. volume of sphere with radius 5 = 523.60 units

volume of cylinder with height 10 = 785.40 units

3. volume of sphere with radius 8 = 2144.66 units

volume of cylinder with height 16 = 3216.99 units

4. volume of sphere with radius 10 = 4188.79 units

volume of cylinder with height 20 = 6283.19 units

5. volume of sphere with radius 12 = 7238.23 units

volume of cylinder with height 24 = 10857.34 units