Math, asked by parvathyajithm2007, 2 days ago

if the volume of largest circular cone that can be placed in a cube is 2156/3 then the edge of cube =?

Answers

Answered by pushkarkohli
0

Step-by-step explanation:

Given that, the edge of the cube is 8 cm.

To find out: The volume of the largest cone that can be cut from the cube.

For the largest cone, the diameter and height must be equal to the edge of the cube.

Hence, radius of the cone =8÷2=4 cm

and height of the cone =8 cm

We know that,

Volume of a cone =

3

1

×πr

2

h

∴ Volume of the largest cone will be:

3

1

×

7

22

×4

2

×8=134.09 [using π=

7

22

]

Hence, the volume of the largest cone that can be cut from a cube of edge 8 cm is 134.09 cm

3

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