Question

When the radius of a cylinder is double its height,find the relation between its C.S.A and base area

Answer 1

Given - Radius of cylinder = 2*Height

Find - Relation between C.S.A. and base area.

Solution - C.S.A. refers to Curved Surface Area. The formula to represent Curved Surface Area is - 2πrh.

In the equation, r represents radius and h represents height.

Base area of cylinder is given by - πr².

Keeping the values in equation-

As, R = 2h

Curved Surface Area is - 2π(2h)h

Curved Surface Area is - 4πh²

New base area is - π(2h)²

New base area is - 4πh².

Hence, Curved Surface Area and base area is - 4πh². Therefore, Curved Surface Area will be equal to base area.