Question

What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth:What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.6What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearesthundredthPosted Tue May 4, 2021 at 3:10 pmCommentsThere

Answer 1

REmember that

The volume of the sphere is equal to

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

where

r is the radius

so

Part 1

What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth:

we have

r=10 in

substitute

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot10^3 \\ V=4,188.79\text{ in3} \end{gathered}`

Part 2

What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth

we have

r=7 ft

substitute

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot7^3 \\ V=1,436.76\text{ ft3} \end{gathered}`

Part 3

What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest hundredth

we have

r=18/2=9 cm ------> radius is half the diameter

substitute

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot9^3 \\ \\ V=3,053.63\text{ cm3} \end{gathered}`