From solid cylinder with base diameter 14 cm and height 20 cm hemispherical parts were cut from both the ends of the cylinder. Find the volume of the resultant object?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4928/3 cm3
| Understanding/Application |
|
Radius of cylinder = 7 cm and height = 20 cm Radius of the hemisphere = 7 cm Volume of remaining part = Volume of cylinder - 2(Volume of hemisphere) |
|
= πr2h - 2(1/2 × 1/3 πr3) = πr2(h - 4r/3) = (22/7 × 7 × 7) × (20 - 28/3) = (154 × 32)/3 = 4928/3 cm3 |