Question

A sphere has a radius of 9 centimeters. Find its a, volume and b, surface area. Use 3.14 for ne. Round the answers to the nearest hundredth.

Answer 1

A sphere has a radius of 9 centimeters. Find its a, volume and b, surface area. Use 3.14 for ne. Round the answers to the nearest hundredth

step 1

Find the volume

the formula to calculate teh volume of a sphere is equal to

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

we have

r=9 cm

pi=3.14

substitute

`\begin{gathered} V=(4)/(3)(3.14)(9^3) \\ V=3,052.08\text{ cm\textasciicircum{}3} \end{gathered}`

step 2

Find the surface area

The surface area of a sphere is equal to

`SA=4\pi r^2`

substitute the given values

`\begin{gathered} SA=4(3.14)(9^2) \\ SA=1,017.36\text{ cm\textasciicircum{}2} \end{gathered}`