A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges…

Question

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 343 cc, what approximately is the volume of the cone?

1. A. 70 cc
2. B. 80 cc
3. C. 90 cc (Correct answer)
4. D. 60 cc

Correct Answer

Option C — 90 cc

Detailed Solution & Explanation

The correct answer is 90 cc.

Key Points

• Side = 7 cm, cone radius = 3.5 cm, height = 7 cm. V = (1/3)*pi*(3.5^2)*(7) = (1/3)*(22/7)*(12.25)*(7) approx 90 cc.