Question
A right circular cone and a right cylinder have equal base and equal height .If the radius of the base and the height are in the ratio 5 : 12 , then the ratio of the total surface of the cylinder to that of the cone is :
Answer: Option C
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Let their radius and height be `5x and 12x` respectively .
Slant height of the cone , ` l = sqrt((5x)^2 + (12x)^2) = 13x`
Total surface area of cylinder / Total surface area of cone
= `(2pi r(h + r))/(pi r(l + r)) = (2(h + r))/((l + r))`
=`(2 xx (12x + 5x))/((13x + 5x)) = (34x)/(18x)` = 17/9 = 17 : 9
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