Question

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

Answer 1

Answer:

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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Step-by-step explanation:

Answer 2

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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