Question

A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters. Given the volume formula for a sphere, 4 3 3 V r   , find the volume of water the reservoir can hold. Show your substitution. Express your answer in scientific notation with two decimal places of accuracy.

Answer 1

`V=5.23* 10^8\ m^3`

Explanation:

A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters.

The volume of a hemisphere is given by :

`V=(2)/(3)\pi r^3`

Substitute r = 630 m in the above formula

`V=(2)/(3)\pi * (630)^3\\\\=5.23* 10^8\ m^3`

So, the water reservoir can hold
`5.23* 10^8\ m^3` of water.