A solid cone and a solid cylinder have equal base and equal height. If the radius and height be in the ratio of 12 : 5, the ratio of the total surface area of cone to that of the cylinder is
Question and options
A solid cone and a solid cylinder have equal base and equal height. If the radius and height be in the ratio of 12 : 5, the ratio of the total surface area of cone to that of the cylinder is
- 5 : 7
- 17 : 25
- 25 : 7
- 25 : 34
Answer and explanation
Correct answer: D - 25 : 34
r = 12, h = 5, slant l = 13. Cone TSA = pi r(l+r) = pi x 12 x 25; cylinder TSA = 2 pi r(r+h) = 2 pi x 12 x 17. Ratio 25:34.
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