Question

find the volume of largest right angular cone that can cut out of a cube whose edge is 9 cm​

Answer 1

Given :-

Edge of the cube = 9 cm

To Find :-

The volume of largest right angular cone that can cut out of a cube.

Analysis :-

Firstly, we have to find the radius by dividing the diameter by 2.

Substitute the values we have in the formula of volume of cone.

The value you get after solving is your volume.

Solution :-

We know that,

• r = Radius
• d = Diameter
• h = Height

Finding the radius,

$\underline{\boxed{\sf Radius= \dfrac{Diameter}{2} }}$

Given that,

Diameter (d) = 9 cm

Substituting their values,

Radius = 9/2

Radius = 4.5 cm

By the formula,

$\underline{\boxed{\sf Volume \ of \ cone=\dfrac{1}{3} \pi r^2 h}}$

Given that,

Radius (r) = 4.5 cm

Height (h) = 9 cm

Substituting their values,

= 1/3 π (4.5)² × 9

= 1/3 × 3.14 × 20.25 × 9

= 190.755 cm³

Therefore, the volume of largest right angular cone that can cut out of a cube is 190.755 cm³.