The curved surface area of a cone is 156π and the radius of its base is 12 cm. What is the volume of the cone, in cm3 ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 240π
| Understanding | Application |
| Tricks |
Curve surface area of the cone = πrl ⇒ π × 12 × l = 156π ⇒ 12 × l = 156 ⇒ l = 13 |
| Now |
h = √(132 - 122) h = √(169 - 144) h = 5 |
| Hence |
Volume of the cone = 1/3 πr25 = 1/3π × 12 ×12 × 5 240π |