Question

Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6in. The volume of this cylinder is 54Pi in^3. Cylinder B also has a radius of 3 inches but the height is doubled. What is the relationship between the volumes of the two cylinders?

A. the volume of cylinder B is half the volume of cylinder A

B. the volume of cylinder B is twice the volume of cylinder A

C. the volume of cylinder B is 4 times the volume of cylinder A

D. the volume of cylinder B is 8 times the volume of cylinder A

Answer 1

Answer: B is the answer..

Explanation:

 V A = πr2h= π (3)2 (6) = 3.14 ( 9) (6)= 169.56 in3
V B = πr2h= π (3)2 (12) = 3.14 ( 9) (12)= 339.12 in3

Since the VB has the height is doubled...so you know right away , the Volume of cylinder B will be double of cylinder A..

Answer 2

If you were to stack two of cylinder A, one on top of the other, you would have the equivalent of cylinder B.

The appropriate choice is ...
B. the volume of cylinder B is twice the volume of cylinder A