Question

The base area and height of a cylinder is 36π sq inches and 5 inches, respectively. What is the volume of the cylinder?

• A. $180$ cubic inches
• B. $180\pi$ cubic inches
• C. $180\pi$ inches
• D. $60\pi$ cubic inches

Answer 1

The correct option is D $60\pi$ cubic inches

Detailed step-by-step solution:
The base area of the cylinder $=36\pi$ sq inches or $36\pi i{n}^2$
The height of the cylinder $=5inchesor5in$
Calculating the volume of the cylinder:
Volume of the cylinder = (Base area) $\times$ (Height)
$=\left(36\pi i{n}^2\right)\times \left(5in\right)$
$=(36\pi \times 5)i{n}^3$
$=180\pi i{n}^3$ or $180\pi$ cubic inches
➡Option C is correct.