Question

question
what is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth of a cubic foot?
answer attempt 1 out of 2
input box ft³ submit answer

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given that the radius \( r = 60.5\space\text{ft} \). Substitute \( r = 60.5 \) into the formula:

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Step3: Calculate the value

First, calculate \( \frac{4}{3}\times221761.25=\frac{887045}{3}\approx295681.6667 \)
Then multiply by \( \pi \) (using \( \pi\approx3.14159 \)):
\( V\approx295681.6667\times3.14159\approx928779.5 \) (rounded to the nearest tenth)

Answer:

\( 928779.5 \)