Question

MEDAL AND FAN PLEASE HELP Cylinder
A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percent change in volume between cylinders A and B? (5 points)

Answer 1

@Preetha @pooja195

Answer 2

all you need to to is find the both of the cylinder volumes.

Answer 3

then divide the first cylinder by the second one, that will give you a number, you then turn that number into a percentage.

Answer 4

im totally lost here can you tell me how to find the volumes and stuff

Answer 5

ok

Answer 6

Cylinder B is 50% smaller than cylinder A.
Cylinder B is 75% bigger than cylinder A.
Cylinder B is 150% smaller than cylinder A.
Cylinder B is 100% bigger than cylinder A.

Answer 7

\[V=\pi r^2h\]

Answer 8

Since you were given the volume of cylinder B in terms of pi, calculate the volume of cylinder A also in terms of pi.

Answer 9

\[V=\pi(7)^2(5)=245inches^3\]

Answer 10

\[Cylinder B = 490\pi\]

Answer 11

so what would be my final answer? @Mindblast3r

Answer 12

\(\Large V_B = 490 \pi~in.^3\)

\(\Large V_A = \pi r^2 h = \pi (7~in.)^2(5 ~in.) = 245 \pi ~in.^3\)

Answer 13

what do i do after? @mathstudent55

Answer 14

Since both volumes are shown in terms of pi, and you are interested in the percent difference, you can drop pi from both.
What is the percent change from 245 to 490?

Answer 15

\(\color{blue}{\text{Originally Posted by}}\) @Mindblast3r
\[\frac{ CylinderA }{ CylinderB }=\frac{ 245\pi }{ 490\pi }=0.5=50percent\]
\(\color{blue}{\text{End of Quote}}\)

Answer 16

Thank you!!! @Mindblast3r

Answer 17

I got it thank you both @mathstudent55 @Mindblast3r

Answer 18

@Mindblast3r
You need to read the question carefully and make sure you answer the question.

Answer 19

wait i think

Answer 20

It would be A right?

Answer 21

The answer is not 50%

Answer 22

oops no wait.

Answer 23

oh lol never mind

Answer 24

\(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\)

Answer 25

Which is it theN? @mathstudent55

Answer 26

Use the formula above to find a percent change.
Use 245 as the old amount and 490 as the new amount.

Answer 27

Its D right????? @mathstudent55

Answer 28

100 percent

Answer 29

\(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\)

\(percent~change = \dfrac{490 - 245}{245} \times 100\)

\(percent~change = \dfrac{245}{245} \times 100\)

\(percent~change = 1 \times 100\)

percent change = 100%

Answer 30

THANK YOUUUU

Answer 31

Correct. The answer is that cylinder B is 100% bigger than cylinder A.

Answer 32

Can you help me with another one? please @mathstudent55

Answer 33

@Mindblast3r
Percent change is based on the formula I wrote above. Percent comparisons are tricky.
If the question were "what percent of cylinder B's volume is cylinder A?"
Then the answer would be 50%.
The way the question was asked, though, it requires an answer of 100%.
This is why you need to read the problem carefully bec with he given info, the answer could be 50% or 100% or other numbers depending on which way the question is asked.

Answer 34

Sorry, it very late for me. GTG

Answer 35

ahh i see what they did.