Question

The ratio of curved surface area to the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder, if it’s total surface area is 1616cm^2

Answer 1

⇒

h+r

h

=

2

1

⇒2h=h+r

⇒h=r

Curved Surface area=2πrh=2πr 2

=308 since h=r

⇒2×

7

22

r2

=308

⇒r

2

=

44

308×7

=49

⇒r=7cm

Since r=h

h=7cm

Volume of the cylinder=πr

2

h=

7 22

×7×7×7=1078cm 3

∴ Volume of the cylinder is 1078 cu cm.

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