Question

The ratio of the curved surface area and the total surface area of a
circular cylinder is 1:2 and the total surface area is 616cm?. Find its
volume​

Answer 1

Answer:

1078 cm ^3

Step-by-step explanation:

given :

2 pi r h / 2 pi r ( h +r) = 1/2

(thus pi , r and 2 are cancelled)

we are left with

h/ (h +r) = 1/2

cross multiply them.

you will get h= r. ie height and radius of cylinder are equal.

then they said that tsa = 616 cm ^2

thus 2 pi r (h+r) = 616

(bcuz we have h=r, we can replace value of h with r.)

on calculation you get 2 r^2 = 98

and thus r= h= 7 cm

volume formula of cylinder is 2 pi r^2 h

= 2 X 22/7 X 7X7X7

= 1078 cm ^3.