Question

The volume of the largest right circular cone that can be cut out of a cube whose edge is 7cm
A) 89.83 cm
B) 83.89 cm
C) 80.83 cm
D) 79.73 cm
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Answer 1

Answer:

a) 89.83

Step-by-step explanation:

Given;

Edge of the cube=7cm= diameter of base of cone= height of cone

To find;

Maximum volume of a cone carved out of the cube.

Sol. Diameter of the base of cone= 7cm

therefore, radius= d/2 =7/2=3.5cm

Now, volume of cone= 1/3 πr²h

therefore, volume of the required cone= 1/3 * π * (3.5)² * 7

which gives us,

Volume of cone= 1/3*22/7*12.25*7

On multiplication, we get,

volume of required cone= 89.83 cm