Question

what is the volume of a sphere with a diameter of 7.7 ft, rounded to the nearest tenth of a cubic foot?
answer attempt 1 out of 2
ft³ submit answer

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of its diameter. Given diameter \( d = 7.7\) ft, so \( r=\frac{d}{2}=\frac{7.7}{2}=3.85\) ft.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \( V = \frac{4}{3}\pi r^{3}\).
Substitute \( r = 3.85\) into the formula:

$$
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$$

Using \( \pi\approx3.14159\), we have \( V=\frac{228.2645\times3.14159}{3}\).

$$
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$$

Rounding \( 239.0391\) to the nearest tenth gives \( 239.0\).

Answer:

\( 239.0\)