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Question

The radius and height of a right circular cone are in the ratio 5:12 and volume is 2512cm, then find the curved surface area and the total surface area of the cone is
  1. 1140.33cm2
  2. 1150.42cm2
  3. 1130.56cm2
  4. 1125.59cm2

A
1125.59cm2
B
1140.33cm2
C
1150.42cm2
D
1130.56cm2
Solution
Verified by Toppr

Let the radius be 5x height be 12x
volume = 2512cm3
volume of right circular cone =13πr2h
2512=13×227×5x×5x×12x
x3=8
x=2
So radius = 10 cm height =24 cm
CSA=πrl=πrπ2h2
227×10100+242=816.4
TSA=CSA+πr2
=816.4+227×10×10=1130.559
=1130.56cm2

1184039_1331316_ans_8c4307819c434a0fb3022e29fea94c9f.jpg

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