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InterviewSolution
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The ratio between the radius of the base and the height of a cylinder si `2 : 3`. If its volume is `1617 cm^(3)` then its total surface area is |
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Answer» Correct Answer - `770 cm^(2)` Suppose that radius `= 2x cm` and height = 3x cm Volume `= pir^(2) h = ((22)/(7) xx 4x^(2) xx 3x) = ((264x^(3))/(7)) cm^(3)` `:. (264x^(3))/(7) = 1617 rArr x^(3) = ((1617 xx 7)/(264)) = ((7)/(2))^(3) rArr x = (7)/(2)` Thus, r = 7 cm and h = 10.5 cm Total surface area `= (2pi rh + 2pi r^(2)) = 2pi r(h + r)` |
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