Question

4. The total surface area of a cylinder is 264 m². Find its volume if its height is 5 times its radius.(Answer =110√7)

please answer it fast its urgent.​

Answer 1

Answer:

110√7 cubic meters

Step-by-step explanation:

Given h = 5r

We know,

The total surface area of a cylinder

= 2πr(h + r)

According to the Condition,

2πr(h + r) = 264

or, 2×22/7×r×(5r+r) = 264

or, 6r^2 = (264×7) / (22×2)

or, r^2 = 7

or, r = √7

We know that the volume of a cylinder is

V= πr^2h

= 22/7 × ( 7×5×√7 )

= 22×5×√7

= 110√7

Therefore, the volume of the cylinder is 110√7 cubic meters.