Question

volume of solid of revolution level 1 (non - calculus)
score:1.5/5 penalty:0.25 off
question
find the volume of the solid generated when the rectangle below is rotated about side \\(\overline{cd}\\). round your answer to the nearest tenth if necessary.
(the rectangle has vertices c, d with length 8, and f, c with length 6)
answer attempt 1 out of 2
answer box units\\(^3\\) submit answer

Explanation:

Step1: Identify shape after rotation

Rotating rectangle around side CD forms a cylinder.

Step2: Determine cylinder dimensions

Radius \( r = 6 \), height \( h = 8 \).

Step3: Calculate volume

Volume formula: \( V = \pi r^2 h \)
\( V = \pi \times 6^2 \times 8 = 288\pi \approx 301.6 \)

Answer:

301.6