Question

If a cone, cylinder, and sphere have the same radius and same height, what is the relationship between the volumes of these three 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 ×r³

Volume of a cone= /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 × ×1³ = 4/3

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

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

4/3 = 4×/3