Question

4 times the area of the curved surface of a cylinder is equal to 6 times the sum of the area of its bases. if its height is 14 cm.find the curved surface area ​

Answer 1

Answer:

818.4 cm²

Step-by-step explanation:

Given,

4 times area of the curved surface of a cylinder is equal 6 times the sum of the area of its bases. height is 14 cm.

To find :

find the curved surface area ​

Solution :

Curved Surface Area= 2πrh cm²

Area of the base = πr² cm²

Area of the base = 2πr² cm²

==> 4(2πrh)= 6×2πr²

==> 8πrh=12πr²

==> 2h=3r

==> 2 * 14 = 3r

==> r = 9.3 cm.

Curved Surface Area=2πrh

==>  2 * 22/7 * 9.3 * 14

==> 818.4 cm²

Result :

C.S.A = 818.4 cm²