Question

14. The surface area of a sphere is 21670 square centimeters. What is the volume of the sphere? Round youranswer to the nearest whole number. (3pts)||

Answer 1

The surface area of a sphere is calculated by 4*pi*r^2, with r being the radius. The volume of a sphere is calculated by (4/3)*pi*r^3. Using this you have that:

`21670=4\cdot\pi\cdot r^2`

You can then find r:

`r=\sqrt[\square]{(21670)/(4\cdot\pi)}\cong41.53\text{ centimeters}`

Then, you can use the formula of the volume to find it:

`V=(4)/(3)\cdot r^3\cdot\pi=(4)/(3)\cdot\pi\cdot41.53^3=300037`

This means that the volume is 300,037.0 cubic centimeters