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?

Respuesta :

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 = [tex]\pi r^{2} h[/tex]

                                         = [tex]\pi (12)^{2} (6)[/tex]

                                         = [tex]864\pi [/tex]

Volume of cylinder B = [tex]648\pi [/tex]

Difference in Volumes =  [tex]864\pi -648\pi [/tex]

                                      =  [tex]216\pi [/tex]

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

[tex]\frac{216\pi}{864\pi} \times 100[/tex]

[tex]25\%[/tex]

Hence Cylinder B is 25% smaller than cylinder .