Question

Total surface area of a right circular cylinder is 1540 cm? If its height is four times the radius, then find
the volume of the cylinder.

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Answer 1

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Answer 2

Let the radius of the cylinder be r.

Given: height is 4r

Total surface area of cylinder: 2πrh+2πr²= 2πr(4r)+2πr² =8πr²+2πr²= 10πr²

Given: 10πr²=1540

⟹r ² = 154/π

Using π≈ 22/7

r²= 154/22/7

= 154×7/22= 49

⟹r=7cm

Therefore, height = 4×7cm= 28cm

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