The ratio between the curved surface area and the total

Asked by admin @ in Math viewed by 256 People

the ratio between the curved surface and total surface of a cylinder is 1:2. find the volume of the cylinder , given that its total surface area is 616cm

Answered by admin @


If TSA is 616 sq.cm, then CSA will be 616/2 = 308 sq.cm. (ratio is 1:2)
TSA = 2*22/7*r*h + 2*22/7*r*r
substituting 2*22/7*r*h as CSA, we get 308 + 2*22/7*r*r = 616 sq.cm
therefore, 2*22/7*r*r = 616-308 = 308
therefore, 2*22/7*r*r = 308
r*r = (308*7) / (2*22)
r*r = 49, r = 7 cm
to find h,
2*22/7*7*h = 308 sq.cm. (CSA)
​44h = 308, h = 308/44
h = 7cm
now, volume = 22/7*r*r*h
= 22/7*7*7*7
volume of cylinder is 1078 cubic. cm

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