The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number. 267 cm2 283 cm2 456 cm2 487 cm2
Accepted Solution
A:
Answer:Option B. is the correct option.Step-by-step explanation:The circular base of a cone has a radius of 5 cm. The height of the cone is 12 cm. Slant height of the cone is 13 cm.We have to calculate the approximate surface area of the cone.Since we know Surface area of a cone = Area of circular base + lateral area of the coneNow Surface area of a cone = πr² + πrl = πr(r + l) By putting the values of the dimensions of a cone in the formula.S.A. = π (5² + 5×13) = 3.14×(25 + 65) = 3.14×(90) = 282.60 ≈ 283 cm²Therefore, Option B is the correct option.