Question

what is the volume of this sphere? round your answer to the nearest hundredth. 28 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter \(d = 28\) cm. The radius \(r=\frac{d}{2}\), so \(r = \frac{28}{2}=14\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 14\) into the formula:

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Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(V=\frac{10976}{3}\times3.14159\approx\frac{10976\times3.14159}{3}\).
\(10976\times3.14159 = 10976\times(3 + 0.14159)=10976\times3+10976\times0.14159=32928+1554.02184 = 34482.02184\).
\(V=\frac{34482.02184}{3}\approx11494.01\)

Answer:

\(11494.01\)