Question

If the rectangle in Figure 3 is rotated ${360}^o$ about side $\overline{BC}$, calculate the volume of the resulting solid.

• A. 12
• B. 18
• C. 28.27
• D. 37.7
• E. 56.55

Answer 1

The correct option is E 56.55

If in given figure the rectangle rotated ${360}^o$ about $BC$

Then we get that a cylinder is with radius $3$ and height $2$ is rotated.

Then volume of cylinder $=$ $\pi r^{2}h$

$=\frac{22}{7}\times (3{)}^2\times 2$

$=\frac{22}{7}\times 9\times 2$

$=56.55$