Question

Each coin in the treasure chest has a radius of 1 inch and a height of 0.0625 inches. If there are 200 coins in the chest, what is the volume of all of the coins?

Answer 1

Answer choices given?

Answer 2

no :-(

Answer 3

ill help

Answer 4

pls help, any help is appreciated

Answer 5

volume of a coin so many times

Answer 6

k holdon

Answer 7

V=πr2 best i can do I know the answer tho so i can check when your done

Answer 8

volume of a circle cylinder, each coin shape, is

area of the circle face * height

V = pi8r^2 8 h

Answer 9

Volume = pi * r^2 * h

Answer 10

I think he means * instead of 8

Answer 11

haha * is an 8 w/o a shift

Answer 12

V = 3.14 * 1^2 * 0.0625
V = 3.14 * 1 * 0.0625
V = 3.14 * 0.0625
V = 0.19625

Answer 13

Volume = pi * r^2 * h

the total is

200*V for all of them

Answer 14

k, that is for one coin,
200 of those is the total they want

Answer 15

39.25

Answer 16

just leave the symbol , for the exact answer

Answer 17

0.0625 * 200 = 39.25
39.25 * pi = 123.245

Answer 18

200 * height is 12.5

Answer 19

where did the 12.5 come from?

Answer 20

you calculated 200*h first how you are doing it

200 * 0. 0625 = 12.5

you mistcalculated that

Answer 21

200 * Volume of Coin = 200 * pi * r^2 * h

= 200 * 1^2 * 0.0625 * pi
= 12.5*pi

Answer 22

leave it as that, or approximate it using 3.14

Answer 23

12.5 * pi = 39.25

Answer 24

@DanJS

if the dimensions of the coins doubled, what would the new volume of the coins be?

r=1 ; 1*2 = 2
h = 0.0625 ; 0.0625 * 2 = 0.125

Answer 25

since volume here is

V = pi*r^2 *h

there are 3 linear terms there, r, r, and h

if a linear term is changed to 2 * original

a cubic term will change by 2*2*2 * original

Answer 26

to see that a scale in a length , 2*L
results in
2^3 * Volume here

Answer 27

a volume is a length cubed

V -- L^3 = L*L*L

double all of the lengths to 2L

2L * 2L * 2L = 8*L^3 = 8*V

double lengths will give 8 times volume

Answer 28

confused..

Answer 29

In general, if you change the scale of lengths by some constant A

AREA will change by A*A or A^2 of the original

Volume will change by A*A*A or A^3 of the original

Answer 30

Volume is calculated with 3 Length Values

V = length^3 = L*L*L

if you change the scale of lengths L by that constant A, Volume will be

V = (A*L) * (A*L) * (A*L)

Answer 31

so when you double all the lengths, the volume will increase by 2^3 or 8 times larger

Answer 32

can i do 39.25 * 8?

Answer 33

you can see this in this example by calculating the value

let each value become double, then calculate the volume the same way, should see it is now 8x the last

Answer 34

\[\large \pi * (2*r)^2 * (2*h) = \pi*2^2 * r^2 + 2*h = (2^3)*\pi*r^2*h \]

Answer 35

the volume is pi*r^2*h

this new volume is 2^3 *Volume