Question

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?

Answer 1

Ypu are correct again.

Answer 2

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 .