Question

volume of solid of revolution level 1 (non - calculus)
score: 0.75/5 penalty: 0.25 off
question
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find the volume of the solid generated when the semicircle below is rotated about its diameter, \\(\overline{qrs}\\). round your answer to the nearest tenth if necessary.
(there is a diagram of a semicircle with center r, and the distance from r to s is 3)
answer attempt 1 out of 2
\\(\square\\) units\\(^3\\) submit answer
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Explanation:

Step1: Identify radius of semicircle

Radius \( r = 3 \)

Step2: Use sphere volume formula

Volume \( V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi (3)^3 \)

Step3: Calculate and round

\( V = 36\pi \approx 113.1 \)

Answer:

113.1