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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?

Verified Answer :

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

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.