Question

what is the volume of this sphere? round your answer to the nearest hundredth. 9.4 m cubic meters submit

Explanation:

Step1: Find the radius

The diameter \(d = 9.4\) m. The radius \(r=\frac{d}{2}=\frac{9.4}{2}=4.7\) m.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 4.7\) into the formula:
\(V=\frac{4}{3}\times\pi\times(4.7)^{3}\)
First, calculate \((4.7)^{3}=4.7\times4.7\times4.7 = 103.823\)
Then, \(V=\frac{4}{3}\times\pi\times103.823\)
\(V=\frac{415.292}{3}\times\pi\)
Take \(\pi\approx3.14159\)
\(V\approx\frac{415.292\times3.14159}{3}\)
\(V\approx\frac{1305.307}{3}\)
\(V\approx435.10\)

Answer:

\(435.10\)