Question

Ratio between the lateral surface area and the total surface area of a right circular cylinder is 3 : 5. If the lateral surface area is 1848 sq. M, then volume of the cylinder is (in cubic m)

Answer 1

Answer:

lateral surface area=1848sq.m(given)

3x is ratio of lateral surface area

3x=1848

x=1848/3

x=616m

surface area in ratio=5x

x=616

surface area= 5×616=3080sq.m

lateral surface area = 2πrh

1848=2×22/7×r×h

1848×(7r/44)=h

7r/42=h

1r/6=h

lateral surface area = 2×22/7×r×1r/6

1848=44(r)square/42

1848×42/44=(r)square

1764=( r)square

√1764=r

42=r

h=1r/6

h=1×42/6

h=7

volume of cylinder=π×(r)square×h

volume=22/7×(42)square×7

volume=271656/7

volume=38808 cubic metre

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