Question

If a cone and sphere have the same radius and the same height, what is the relationship among the volumes of the two shapes?

Answer 1

the volume of the sphere will be 4 times the volume of the cone;

Explanation:

The question is on volume comparison

Volume of a sphere=4/3
`\pi`×r³

Volume of a cone=
`\pi`/3×r²h

where r is the radius and h is the height

Apply the condition

If r=h=1 unit

Then volume of sphere will be= 4/3 ×
`\pi`×1³ = 4/3
`\pi`

And volume of the cone will be=
`\pi`/3 ×1²×1 =
`\pi`/3

We can see the volume of the sphere will be 4 times the volume of the cone;

4/3
`\pi` = 4×
`\pi`/3