Question

If the curved surface area of a cylinder is 440 cm${}^2$ and the circumference of its base is 44 cm, then its height will be ________.

• A. 7 cm
• B. 20 cm
• C. 10 cm
• D. 15 cm

Answer 1

The correct option is C 10 cm

Curved surface area of the cylinder is $2\mathrm{\pi rh}$ and circumference of the base is $2\mathrm{\pi r}$.
Curved surface area
= 2$\pi$rh
= 2$\pi$r x h
= circumference x height
Hence, $\text{height}=\frac{\text{curved surface area}}{\text{circumference}}$
$⟹height=\frac{440}{44}=10\text{cm}$