Question

volume of a sphere (level 1)
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question
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what is the volume of a sphere with a radius of 24.2 ft, rounded to
the nearest tenth of a cubic foot?
answer attempt 1 out of 2
ft³ submit answer
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Explanation:

Step1: Recall sphere volume formula

The volume \( V \) of a sphere is \( V = \frac{4}{3}\pi r^3 \), where \( r = 24.2 \) ft.

Step2: Calculate \( r^3 \)

\( r^3 = 24.2^3 = 24.2 \times 24.2 \times 24.2 = 14172.488 \)

Step3: Compute volume

\( V = \frac{4}{3} \times \pi \times 14172.488 \approx \frac{4}{3} \times 3.1416 \times 14172.488 \approx 60918.6 \)

Step4: Round to nearest tenth

The result is already rounded to the nearest tenth.

Answer:

60918.6