Question

Find the diameter of a right circular cylinder whose height is 7 cm and volume is equal
to curved surface area.

Answer 1

Let r and h be the radius and height of the solid right circular cylinder respectively

Given that r=7cm and h=20cm

Curved surface area, CSA=2πrh

=2×

7

22

×7×20

Thus,the curved surface area =880sq.cm

Now, the total surface area =πr[h+r]

=2×

7

22

×7×[20+7]=44×27

Thus, the total surface are =1188sq.cm