Question

cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 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 Bis ywice the volume of cone A , The volume of cone B is 4 time the volume of cone A or The volume of cone B is 3 times the volume of cone A?

Answer 1

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

Answer 2

Answer:

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

Step-by-step explanation:

Cone A

Height of cone = 3 m

Radius of Cone = 2 m

Volume of cone = $\frac{1}{3} \pi r^{2} h$

                          = $\frac{1}{3} \times 3.14 \times 2^{2} (3)$

                          = $12.56 m^3$

Cone B

Height of cone = 6 m

Radius of Cone = 2 m

Volume of cone = $\frac{1}{3} \pi r^{2} h$

                          = $\frac{1}{3} \times 3.14 \times 2^{2} (6)$

                          = $25.12 m^3$

Now $12.56 \times 2 = 25.12$

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