When the radius of a cylinder is double its height, find the relation

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

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

Answer»

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.

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