What is the volume of the largest right circular cone that can be cut out from a cube whose edge is 10 cm?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 250π/3 cm3
The largest cone that can be cut out from a cube is that have a diameter and height the same as the side of the cube.
So, radius of the cone = 5 cm and height = 10 cm
Thus, the volume of such cone = (1/3) × π × 52 × 10
⇒ (1/3) ×π × 25 × 10 = 250π/3 cm3