Question 15
Mensuration of SolidsCalculate the total surface area of a cone of height 12cm and base radius 5cm. (Take π = 22/7)
- A.180 5/7cm2
- B.240 2/7cm2
- C.235 5/7cm2
- D.282 6/7cm2
- E.361 3/7cm2
Show the answer and explanation
Answer: D (282 6/7cm2)
Explanation
Slant height l = √(122 + 52) = 13 cm. Total surface area = πr(r + l) = 22/7 × 5 × 18 = 1980/7 = 282 6/7 cm2.