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.

Respuesta :

Answer:

[tex]V=5.23\times 10^8\ m^3[/tex]

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 :

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

Substitute r = 630 m in the above formula

[tex]V=\dfrac{2}{3}\pi \times (630)^3\\\\=5.23\times 10^8\ m^3[/tex]

So, the water reservoir can hold [tex]5.23\times 10^8\ m^3[/tex] of water.