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yeval76
 one year ago
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.
yeval76
 one year ago
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.

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, find the volume of cylinder A.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know how to find the volume of a cylinder?

yeval76
 one year ago
Best ResponseYou've already chosen the best response.1The volume of cylinder A is 2,712.96

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\Large V_{cylinder} = \pi r^2 h\) where r = radius of the base, and h = height of the cuylinder

yeval76
 one year ago
Best ResponseYou've already chosen the best response.1Yea so the volume of cylinder A is 2,712.96

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Since the volume of cylinder B is written in terms of pi, you can also write the volume of cylinder A in terms of pi. (In other words, don't multiply pi in the formula.) \(\Large V_{A} = 864 \pi\) \(\Large V_B = 648 \pi\) Ok so far?

yeval76
 one year ago
Best ResponseYou've already chosen the best response.1Would you divide Va by Vb and then multiply it by 100...

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we need the second step of the problem. We need to find the percent change. Look in all choices. Every choice states "Cylinder B is ... than cylinder A." This means we are comparing cylinder B to A.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is the formula to calculate percent change: \(percent~change = \dfrac{new~amount  old~amount}{old~amount} \times 100\) If the percent change is positive, it is an increase. If the percent change is negative, it is a decrease. In this case, since we are comparing cylinder B to cylinder A, then old amount = 864 pi new amount = 648 pi (pi will cancel out in the calculation.)

yeval76
 one year ago
Best ResponseYou've already chosen the best response.1So will it be 25% smaller then cylinder A right?

yeval76
 one year ago
Best ResponseYou've already chosen the best response.1Yayyyy Thank You!!! @mathstudent55
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