Question

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 cm²
b.77.6 cm²
c.58.2 cm²
d.19.4 cm²

Answer 1

Answer:

d.19.4cm^2

Step-by-step explanation:

Edge of the cube =4.2 cm

Let the radius of base of the cone be r cm and height be h cm.

The base of largest cone that can touch all the edges of the base of the cube and its height, is same on the edge of the cube.

Therefore,

2r=4.2cm

r=2.1cm

h=4.2cm

Volume of the cone = (1/3)πr^2h

=1/3×22/7×2.1×2.1×4.2

=19.404cm^3