Question

question
what is the volume of a hemisphere with a diameter of 3.8 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 radius \(r\) of a sphere is half of the diameter. Given \(d = 3.8\) in, so \(r=\frac{d}{2}=\frac{3.8}{2}=1.9\) in.

Step2: Use the formula for the volume of a hemisphere

The formula for the volume of a hemisphere \(V=\frac{2}{3}\pi r^{3}\).
Substitute \(r = 1.9\) into the formula:

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Step3: Round to the nearest tenth

Rounding \(14.35817\) to the nearest tenth. The digit in the hundredth place is \(5\), so we round up the digit in the tenth place. \(14.35817\approx14.4\)

Answer:

\(14.4\)