Question

4.The Curved surface area of a right
circular cylinder is 4.4 sq.cm. The radius of
the base is 0.7 cm. Find the height of the
cylinder.

Answer 1

Answer:

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Answer 2

Given:

• The Curved Surface Area (CSA) of a right circular cylinder is 4.4 cm sq.
• The radius of the base of the right circular cylinder is 0.7 cm.

To be found:

The height of the right circular cylinder.

The formula that is used to find the Curved Surface Area(CSA) of a cylinder is

= 2πrh unit sq.

So,

We will use the Curved Surface Area formula to get the value of height.

Here,

Let the height of the right circular cylinder be 'h' cm

So,

⇒ 2 * ²²/₇ * 0.7 * h = 4.4

⇒ 2 * 22 * 0.1 * h = 4.4

⇒ 44 * 0.1 * h = 4.4

⇒ 4.4 * h = 4.4

⇒ h = 4.4/4.4

⇒ h = 1 cm

Hence,

The height of the right circular cylinder is 1 cm

- - -

Verification:

CSA = 2πrh

= 2 * 22/7 * 0.7 * 1 *

= 30.8/7 = 4.4 cm sq.

Hence verified.