Question

The curved surface area of a cylinder is 1,650 $c{m}^2$. Its base has a circumference of 55 cm. The height of the cylinder is:

• A. 15 cm
• B. 30 cm
• C. 55 cm
• D. 40 cm

Answer 1

The correct option is B 30 cm

Let r be the radius of the base of the cylinder and h be its height.
Then, Circumference of the base $=2\pi r$
Curved surface area of the cylinder $=2\pi rh$

As per the data given, $2\pi r=55cmand2\pi rh=1,650c{m}^2$.

Thus, $h=\frac{1,650}{55}=30cm$.