Answered

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

What is the volume of the light sphere?

Use 3.14 for pi.

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Verified Answer :

wolf1728

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




Volume = 4,186.67

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 .

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