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question what is the volume of a hemisphere with a diameter of 54.8 in,…

Question

question
what is the volume of a hemisphere with a diameter of 54.8 in, rounded to the nearest tenth of a cubic inch?
answer attempt 1 out of 2
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Explanation:

Step1: Find the radius

The diameter \( d = 54.8 \) in, so the radius \( r=\frac{d}{2}=\frac{54.8}{2} = 27.4 \) in.

Step2: Recall the volume formula for a hemisphere

The volume \( V \) of a hemisphere is \( V=\frac{2}{3}\pi r^{3} \).

Step3: Substitute the radius into the formula

Substitute \( r = 27.4 \) into the formula:

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Answer:

\( 43591.1 \)