#### Question

Choose the correct alternative answer for each of the following questions.

(5) The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.

(A) \[\frac{44}{\pi}\] cm

(B) 22 \[\pi\] CM

(C) 44 \[\pi\] CM

(D) \[\frac{22}{\pi}\] cm

#### Solution

(5) Radius of the cylinder, *r* = 5 cm

Let the height of the cylinder be *h* cm.

Curved surface area of the cylinder = 440 cm^{2}

\[\therefore 2\pi h = 440\]

\[ \Rightarrow h = \frac{440}{2\pi r}\]

\[ \Rightarrow h = \frac{440}{2\pi \times 5} = \frac{44}{\pi} cm\]

Thus, the height of the cylinder is \[\frac{44}{\pi}\]cm.

Is there an error in this question or solution?

Solution Choose the Correct Alternative Answer for Each of the Following Questions.(5) the Curved Surface Area of a Cylinder is 440 Cm 2 and Its Radius is 5 Cm. Find Its Height. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.