Question

If the lateral surface area of a cylinder is 320 cm² and height is 10 cm, what is the radius?

• A. 4∏ cm
• B. 5 cm
• C. 16/∏ cm
• D. 8 cm

Answer 1

Answer:

C. 16/∏ cm

The lateral (curved) surface area of a cylinder is given by:

$2\pi rh = \text{Lateral Surface Area}.$

Substitute the given values:

• Lateral surface area$(=320\ \text{cm}^2)$

• Height $(h=10\ \text{cm})$

$2\pi r(10)=320$
$20\pi r=320$
$r=\frac{320}{20\pi}=\frac{16}{\pi}\ \text{cm}.$