Question

if the curved surface of a cylinder is 1012 cm2 and height of the cylinder is 23cm, what is volume of the cylinder?
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Answer 1

Answer:

The correct answer is 3542 cm3

Answer 2

Given : The curved surface area of a cylinder is 1012 cm². The height of the cylinder is 23cm.

To find : The volume of the cylinder.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the cylinder)

Let, the base radius of the cylinder = r cm

So, the curved surface area of the cylinder :

= 2 × π × radius × height

= 2 × π × r × 23

= 46πr cm²

According to the data mentioned in the question,

46πr = 1012

r = 1012 × (1/π) × (1/46)

r = 1012 × (7/22) × (1/46)

r = 7

So, the base radius = r cm = 7 cm

So, the volume of the cylinder will be :

= π × (radius)² × height

= (22/7) × (7)²× 23

= 3542 cm³

(This will be considered as the final result.)

Hence, the volume of the cylinder is 3542 cm³.