Question

The radius of acone is √2 times the height of the cone

Answer 1

Explanation:

r=√2h,then

v=1/3πr^2h

v=1/3×3.14×(√2h)^2×h

v=3.14×2h^3÷3

Answer 2

Answer:

Refer to the picture first.

In the given figure, you can see that

Now , BC = x / √2

Therefore, √2 ( h-x)/x = h/(√2 h) = 1/√2

2 h-2 x = x

Hence, 3 x = 2 h

Now, Volume of cone/ Volume of cube = 1/3 π (2h)³/ (2h)³

So, (1/3 π 8h³)/ 8h³ = 9/4π = 99/14

Hence, the ratio of volume of cone to the volume of the cube is 99/14

i hope this will help ❤