The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
a. 9.7 cm³
b. 77.6 cm³
c. 58.2 cm³
d. 19.4 cm³

Solution:

Given, a cube of edge 4.2 cm

We have to find the volume of the largest right circular cone that can be cut from the cube.

Height of the cone = 4.2 cm

Radius of the cone = 4.2/2 = 2.1 cm

Volume of the cone = (1/3)πr²h

= (1/3)(22/7)(2.1)²(4.2)

= 19.404 cm³

Therefore, the volume of the largest cone that can be cut from the cube is 19.404 cm³

✦ Try This: The volume of the largest right circular cone that can be cut out from a cube of edge 6 cm is

Given, a cube of edge 4.2 cm

We have to find the volume of the largest right circular cone that can be cut from the cube.

Height of the cone = 6 cm

Radius of the cone = 6/2 = 3 cm

Volume of the cone = (1/3)πr²h

= (1/3)(22/7)(3)²(6)

= 56.57 cm³

Therefore, the volume of the largest cone that can be cut from the cube is 56.57 cm³

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Sample Problem 5

The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is a. 9.7 cm³, b. 77.6 cm³, c. 58.2 cm³, d. 19.4 cm³

Summary:

The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is 19.404 cm³

☛ Related Questions:

• A cylindrical pencil sharpened at one edge is the combination of a. a cone and a cylinder, b. frustu . . . .
• A surahi is the combination of a. a sphere and a cylinder, b. a hemisphere and a cylinder, c. two he . . . .
• A plumbline (sahul) is the combination of (see Fig. 12.2) a. a cone and a cylinder, b. a hemisphere . . . .