Question

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

Answer 1

Please Refer To Pic Attached, For Diagram

Answer :—

190.92 cm²

Solution :—

Given :

S = edge of cube = 9 cm

Cone is Inscribed to be of the highest volume possible. which can be done when Height of cone (H) = Edge of cube (S) and the base circle is also the biggest possible on one face of the cube, which will be when R = S/2

So, dimensions of cone :

Radius = S/2 = 9/2 cm

Height = S = 9 cm

Volume of Cone : πr²h/3

$= \frac{22 \times 9 \times 9 \times 9}{3 \times 7 \times 2 \times 2}$

$= \frac{11 \times 729}{42}$

$= 190.92$cm²

Answer 2

Answer:

Step-by-step explanation:

Use,

Volume of cone = (1/3)πr²h

Concept → maximum height and diameter

(of base ) of cone = edge of cube