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

Answer:

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

Step-by-step 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