Question

The ratio of curved surface area and total surafarcw area of circular cylinder is 1:2and total surface area is 616cm2 find bolume

Answer 1

Sorry for the untidy work but I needed to speed up.. Hope this helps.

Answer 2

Given :-

The ratio between the curved surface area and the total surface area of right circular cylinder is 1:2

To Find :-

Volume

Solution :-

We know that

CSA = 2πrh

TSA = 2πr(r + h)

CSA/TSA = 1/2

2πrh/2πr(r + h) = 1/2

h/r + h = 1/2

2(h) = r + h

2h = r + h

2h - h = r

h = r (1)

Now, ATQ

CSA = TSA/2

CSA = 616/2

CSA = 308 cm

CSA = 2πrh

• As r = h

CSA = 2πrr

CSA = 2πr²

308 = 2 × 22/7 × r²

308 = 44/7 × r²

308 × 7/44 = r²

49 = r²

√(49) = r

7 = r

As r = h

h = 7 cm

Now,

Volume of cylinder = πr²h

Volume = 22/7 × (7)² × 7

Volume = 22/7 × 49 × 7

Volume = 22 × 49

Volume = 1078 cm³