Question : The curved surface area and circumference at the base of a solid right circular cylinder are 2200 cm2 and 110 cm, respectively. Find the height of the cylinder.
Option 1: 24 cm
Option 2: 22 cm
Option 3: 20 cm
Option 4: 18 cm
Correct Answer: 20 cm
Solution :
The curved surface area of a right circular cylinder, where $r$ is the radius and $h$ is the height of the cylinder.
$⇒A = 2 \pi r h$
The circumference at the base of the cylinder,
$⇒C = 2 \pi r$
So, height = $\frac{A}{C}$
= $\frac{2200}{110}$
= 20 cm
Hence, the correct answer is 20 cm.
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