Question

the ratio between the curved area and the total surface area of a right circular cylinder is 1:2.find the volume of the cylinder if its total surface area is 616 cm square.

Answer 1

Hey!!

c.s.a /t.s.a of cylinder = 2πrh/2πr(r+h)

1/2 = h/r+h
r+h = 2h
r = h

T.S.A = 2π r ( r+h)
616 = 2×22/7 r (r+r)
616 = 44/7 × 2r^2
616 = 22/7 × r^2
616× 7/22 = r^2
28 ×7 = r^2
√196 =r
r = 14 cm

h = 14cm

Volume = πr^2h
= 22/7× 14×14×2×14
= 11 × 14×28
= 4312 cm^3

✌✌ Hope this helps!