Question

A sphere has volume 463.01 cm^3. What is the radius of the sphere? A second sphere has a radius half as long as this radius. What is the volume of the second sphere. Use 3.14

Answer 1

Radius = 4.8cm

Volume of the second sphere = 57.9cm3

Explanation:

Answer 2

1: r = 2.4 cm

2: V = 57.8765 cm^3

Explanation:

1:

The volume of a sphere is given by V = (4/3) * pi * (r^3), being 'r' its radius.

So if the volume is 463.01 cm^3, we have that:

463.01 = (4/3) * pi * (r^3)

463.01 * 3 = 4 * 3.14 * r^3

r^3 = 463.01 * 3 / (4 * 3.14) = 110.59156

r = 4.8 cm

2:

The radius of the second sphere is 4.8/2 = 2.4 cm, so its volume is:

V = (4/3) * 3.14 * (2.4^3) = 57.8765 cm^3