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

Answer:

$V=5.23\times 10^8\ m^3$

Step-by-step 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 :

$V=\dfrac{2}{3}\pi r^3$

Substitute r = 630 m in the above formula

$V=\dfrac{2}{3}\pi \times (630)^3\\\\=5.23\times 10^8\ m^3$

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