Question

volume of solid of revolution level 1 (non - calculus)
score: 1.75/5 penalty: 0.25 off
question
find the volume of the solid generated when the semicircle below is rotated about its diameter, \\(\overline{hj}\\). round your answer to the nearest tenth if necessary.
(there is a diagram of a semicircle with diameter \\(hj\\) and center \\(i\\), and the length from \\(i\\) to the arc is 9)
answer attempt 1 out of 2
units³ submit answer
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Explanation:

Step1: Identify radius

The length from I to J is 9, so radius $r=9$.

Step2: Volume of sphere formula

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

Step3: Calculate volume

$V=\frac{4}{3}\pi (9)^3=\frac{4}{3}\pi \times 729=972\pi\approx339.3$

Answer:

339.3