Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B?


Cylinder B is 50% smaller than cylinder A.

Cylinder B is 25% smaller than cylinder A.

Cylinder B is 150% bigger than cylinder A.

Cylinder B is 200% bigger than cylinder A.


B?

Verified Answer :

Answer:

Cylinder B is 25% smaller than cylinder

Step-by-step explanation:

Radius of cylinder A = 12 inches

Height of Cylinder A = 6 inches

So, volume of cylinder A = \(\pi r^{2} h\)

                                         = \(\pi (12)^{2} (6)\)

                                         = \(864\pi\)

Volume of cylinder B = \(648\pi\)

Difference in Volumes =  \(864\pi -648\pi\)

                                      =  \(216\pi\)

So, to find the percentage change in volume between cylinders A and B

\(\frac{216\pi}{864\pi} \times 100\)

\(25\%\)

Hence Cylinder B is 25% smaller than cylinder .