Question

Two cylinders are similar with a surface area ratio of 25:64. Find the volume of the second given that the volume of the first is 250 m3.
Answer
A. 61.0 m3


B. 640 m3 C. 1024 m3 D. 97.7 m3

Answer 1

@gitahimart

Answer 2

@gitahimart

Answer 3

@gitahimart

Answer 4

@gitahimart

Answer 5

hehe

Answer 6

hello lad are you willying to help

Answer 7

*willing

Answer 8

@gitahimart are you going to help :):)(:(:

Answer 9

do i set it up as a cross multiply thing

Answer 10

Help kind sir please i beg of you

Answer 11

@Liltico sorry was out, consider this:
Use these two facts about similar objects.

Area ratio = (length ratio)^2

Volume ratio = (length ratio)^3

Find the length ratio by square rooting the area ratio and then use it in the second formula., can you do that?

Answer 12

you deserve a metal.

Answer 13

thanks, what have you got?

Answer 14

sir please be more detailed i don't understand

Answer 15

OK, you,ve been given an area (surface area) ration of 25/64, so the length ratio is the square root of this which is 5/8, following upto there?

Answer 16

I got B am i correct

Answer 17

nope, what was your length ratio?

Answer 18

5/64

Answer 19

remember: \[\sqrt{(25/64)} = (\sqrt{25})/(\sqrt{64}) = 5/8\]

Answer 20

now from here you need to get the volume ratio, and since volume means cubing values, then the volume ratio becomes: \[5^{3}:8^{3} = 125:512\]

Answer 21

@Liltico

Answer 22

yes?

Answer 23

we together?

Answer 24

i understand how you got 125:512 but i'm lost in finding the answers

Answer 25

Don't you leave me!

Answer 26

we're getting there,now since you've been told that the volume of the 1st is 250, from the ratio you can see that the volume of the 2nd will be larger..

Answer 27

so:
125:512
250:x

Answer 28

X=61

Answer 29

Is that my answer?

Answer 30

to find x, cross multiply:
x * 125 = 250 * 512
x = (250*512)/125
x =1024

Answer 31

1024 is your answer

Answer 32

oh i understand thanks once more

Answer 33

welcome