Question

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 18cm.

Answer 1

Question :

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 18cm.

Answer :

The volume of the largest right circular cone is 1526.04 cm³.

Step-by-step explanation :

Given,

Diameter of the base of right circular cone = Edge of cube = 18 cm

Radius = r = 18/2 = 9 cm

Height of the right circular cone = Edge of cube = 18 cm

Volume of right circular cone -

⇒ ⅓ πr²h cu. units

⇒ ⅓ × 3.14 × 9 × 9 × 18 cm³

⇒ 1526.04 cm³ (approximate)

Answer 2

Hey mate,

See the attachment above ⤴ for your reference,

So,

The base of the cone will act as a circle inscribed in a face of cube,

Height = edge of cube

We know,

Edge of cube = 18 cm

So radius of base = 9 cm

Height = 18 cm

We know,

Volume of the cone = 1/3*pie*r^2*h

= 1/3*22/7*9*9*18

= 1527.42 cm^3 (approx)

Hope this helps you out!