Question

what is the volume of this sphere? round your answer to the nearest hundredth. 6 yd blank cubic yards submit

Explanation:

Step1: Find the radius

The diameter \(d = 6\) yd. The radius \(r=\frac{d}{2}\), so \(r = 3\) yd.

Step2: Use the volume formula for a sphere

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

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Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(V = 36\times3.14159=113.09724\approx113.10\) (rounded to the nearest hundredth)

Answer:

\(113.10\)