Question

volume of solid of revolution level 1 (non - calculus)
score: 1/5 penalty: 0.25 off
question
find the volume of the solid generated when the rectangle below is rotated about side \\( \overline{hi} \\). round your answer to the nearest tenth if necessary.
answer attempt 1 out of 2
units³ submit answer

Explanation:

Step1: Identify shape after rotation

Rotating rectangle about side HT forms a cylinder.

Step2: Determine cylinder dimensions

Radius \( r = 4 \), height \( h = 7 \).

Step3: Calculate volume

Volume formula: \( V = \pi r^2 h \)
Substitute values: \( V = \pi \times 4^2 \times 7 = 112\pi \)
Compute numerical value: \( 112 \times 3.1416 \approx 175.9 \)

Answer:

175.9