devarshi-dt-logo

Question:

Curved surface area of a cone is 308m² and its slant height is 14cm. Find (i) radius of the base and (ii) total surface area of the cone.

Solution:

Given, l=14cm. Let x be radius of cone
CSA of cone = πrl = πxl
308 = πx(14)
x = 308 / (22/7 × 14) = 7cm
Total Surface Area = CSA + Area of base = 308 + πr² = 308 + (22/7 × 7 × 7) = 308 + 154 = 462cm²