Question

Find the volume of the sphere. Give the answer in terms of pi and rounded to the nearest cubic foot.

Answer 1

Use the following equation for the volume of a sphere:

$V = \frac{4}{3} \pi r^{3}$

V represents the total volume, and r represents the radius of the sphere.

Plug in your value for the radius.

$10^{3} = 1000$

The equation should now look like this:

$V = \frac{4}{3} \pi (1000)$

Multiply 1000 by 4/3.

$1000 * \frac{4}{3} = 1333.33$

In terms of pi, the volume is 1333.33π cubic feet.

Assuming pi = 3.14, convert the symbol into the decimal, and multiply by 1333.33.

$3.14 * 1333.33 = 4186.65$

Rounded to the nearest whole number, the volume of the sphere is 4187 cubic feet.

Answer 2

Hi there!

The formula for the volume of a sphere is V = 4/3(pi)(r^3). Using this formula, we can plug in what we know and solve.

WORK:
V = 4/3(pi)(10^3)
V = 4/3(1000pi)
V = 4000pi/3 or 1333.3 pi
V also = 4188.8

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!