Question

A family purchases a light sphere to be used out on their patio. The diameter of the sphere is 20 in.

Answer 1

Answer:

Volume of the sphere is 41866.67 in³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ sphere = \frac{4}{3}\pi\ r^{3}$

Where r is the radius of the sphere .

As given

The diameter of the sphere is 20 in.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{20}{2}$

Radius = 10 in

$\pi = 3.14$

Putting all the values in the formula

$Volume\ of\ a\ sphere = \frac{4\times 3.14\times 10\times 10\times 10}{3}$

$Volume\ of\ a\ sphere = \frac{4\times 314\times 10\times 10\times 10}{3\times 10}$

$Volume\ of\ a\ sphere = \frac{4\times 314\times 10\times 10}{3}$

$Volume\ of\ a\ sphere = \frac{125600}{3}$

Volume of a sphere = 41866.67 in³ (Approx)

Therefore the volume of the sphere is 41866.67 in³ .

Answer 2

Radius = 10 inches
Volume = (4/3) * PI * radius ^ 3
Volume = (4/3) * 3.14 * 10^3
Volume = 4,186.6666666667
Volume = 4,186.67