Question

Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percent change in volume between cylinders A and B?

Cylinder B is 50% smaller than cylinder A.

Cylinder B is 75% smaller than cylinder A.

Cylinder B is 50% bigger than cylinder A.

Cylinder B is 200% bigger than cylinder A.

@waterineyes @hartnn i have no idea how to do this

Answer 1

Can you find volume of Cylinder A?

Answer 2

\(Volume_{cyl A} = \pi \cdot r^2 \cdot h\) Am I right?

Answer 3

And keep \(\pi\) as it is..

Answer 4

yes.....

volume is pi * r^2 * h

pi * 10^2 * 5 = pi500

Answer 5

Yep..
So, out of two, you know Cylinder B has greater volume? Right?

Answer 6

yes

Answer 7

so its between C and D

Answer 8

\[\% Increase = \frac{Bigger - smaller}{smaller} \times 100 \quad \%\]

Answer 9

Getting?

Answer 10

so 250 / 500 * 100%

Answer 11

If you don't like this, then we have another method too..

Answer 12

Yep..

Answer 13

.5 so 50% ?

Answer 14

Simplify that..

Answer 15

Yep..

Answer 16

thank you! :D

Answer 17

You are welcome dear.. :)