Question

Cone A has a height of 3 meters and a radius of 2 meters. Cone B has the same radius, but the height is 6 meters. Calculate the

volume of each cone. Which conclusion is correct?
The volume of cone A is twice the volume of cone B.
The volume of cone B is twice the volume of cone A.
The volume of cone B is 4 times the volume of cone A.
The volume of cone B is three times the volume of cone A.

Answer 1

Step-by-step explanation:

Answer 2

The volume of cone B is twice the volume of cone A.

Step-by-step explanation:
For cone A,
Radius (r)= 2m
Height (h) = 3m
Volume of cone A (V1) = 1/3 Pi r^2 *h
=1/3 * 22/7 * 2^2 *3
=264/21
=88/7
=12.571,,

For cone B,
r= 2m
h= 6m
Volume of cone B (V2) = 1/3 Pi r^2*h
=1/3 * 22/7 * 2^2 * 6
=528/21
=176/7
=25.142,,

It is seen that,
V2= 2*V1
25.142 = 2*12.571
25.142 = 25.142, which is true.