A solid right circular cylinder of radius 8 cm and height 3 cm is melted to make a cone of height 3 times that of cylinder. Find the curved surface area of the cone. (use = 12)

Asked by Topperlearning User | 9th Apr, 2014, 01:11: PM

Expert Answer:

Height of cone = 3 times height of cylinder

= 3 3 = 9 cm

Volume of cylinder = volume of cone

r2 = 8 8

r = 8 cm

l2 = h2 + r2

= (9)2 + (8)2

l =square root of 145 space end root = 12 cm

C.S.A (cone) = πrl equals 22 over 7 cross times 8 cross times 12.04

= 301.71 cm2

Answered by  | 9th Apr, 2014, 03:11: PM