# ICSE Class 8 Answered

**The TSA of a solid cylinder is 462cm2 and its curved surfave area is one third of its total surface area . Find the volume of a cylinder**

Asked by harinikurimilla | 02 May, 2019, 07:45: PM

Expert Answer

The radius and height of the cylinder be r and h respectively.

Total surface area of cylinder = 462

2∏r(r + h) = 462 ....(i)

Lateral surface area of cylinder = 1/3 of total surface area of cylinder

2∏rh = 1/3 of 462 = 154 ....(ii)

Dividing (i) by (ii)

(r + h)/h = 3

Solving we get h = r/2

We have

2∏rh = 154 where h = r/2

We get r = 7 cm

hence, h = r/2 = 3.5 cm

Volume of cylinder = ∏r

^{2}h = 539 cm^{2}
Answered by Sneha shidid | 03 May, 2019, 09:52: AM

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