Exams › SSC CGL (Prelims) › General

The diameter of the base of a cone is 56 cm and its curved surface area is 3080 cm^2. What is its volume in cm^3? (Use pi = 22/7)

1. 12250
2. 14670
3. 17248
4. 15391

Correct answer: 17248

Solution

With r = 28 cm and CSA = pi*r*l = 3080, we get l = 35 cm. Height h = sqrt(35^2 - 28^2) = 21 cm. Volume = (1/3)*(22/7)*784*21 = (1/3)*22*784*3 = 22*784 = 17248 cm^3.

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