Question

check my answer

Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 ft. He used all of the sand to fill a cylindrical pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi and express your final answer in tenths.


1.5 ft

Answer 1

@StudyGurl14 @robtobey @Here_to_Help15

Answer 2

@iambatman

Answer 3

am i correct @StudyGurl14 ?

Answer 4

still working on it...

Answer 5

ok thanks :)

Answer 6

I got about 2 ft...

Answer 7

i got 1.5did i do something wrong?

Answer 8

idk. show me what you did

Answer 9

ok hang on

Answer 10

an hour ago

99
jim_thompson5910
Best Response
Medals 1

what is the volume of the cone?

an hour ago

61
luffingsails
You've already chosen the best response.
Medals 0

So, first calculate the volume of sand in the cone. Then set that volume equal to the equation of the volume of a cylinder with radius 6 ft... then solve for the height of the cylinder.

an hour ago

60
NunChuckBoy3101
Medals 0

it doesn't say @jim_thompson5910

an hour ago

99
jim_thompson5910
Best Response
Medals 1

use the formula given on the previous problem to calculate the volume of the cone

an hour ago

60
NunChuckBoy3101
Medals 0

ok

an hour ago

60
NunChuckBoy3101
Medals 0

ok i confused my self can you set up the equation for me?

an hour ago

60
NunChuckBoy3101
Medals 0

@jim_thompson5910

an hour ago

99
jim_thompson5910
Best Response
Medals 1

V=13∗π∗r2∗h
is the formula you need

an hour ago

99
jim_thompson5910
Best Response
Medals 1

for the volume of a cone

an hour ago

60
NunChuckBoy3101
Medals 0

what should i do with 2 radius though

an hour ago

99
jim_thompson5910
Best Response
Medals 1

"Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 ft." r = 3 h = 6

an hour ago

60
NunChuckBoy3101
Medals 0

ok so it would be 3^2*6*3.14?

an hour ago

99
jim_thompson5910
Best Response
Medals 1

yes

an hour ago

99
jim_thompson5910
Best Response
Medals 1

what is that equal to

an hour ago

60
NunChuckBoy3101
Medals 0

ok so it is equal to 169.56

an hour ago

99
jim_thompson5910
Best Response
Medals 1

good

an hour ago

99
jim_thompson5910
Best Response
Medals 1

Volume of a Cylinder
V=π∗r2∗h

an hour ago

60
NunChuckBoy3101
Medals 0

so that is correct?

an hour ago

99
jim_thompson5910
Best Response
Medals 1

plug V = 169.56 into
V=π∗r2∗h
along with r = 6

an hour ago

99
jim_thompson5910
Best Response
Medals 1

then solve for h

an hour ago

60
NunChuckBoy3101
Medals 0

339.12?

an hour ago

60
NunChuckBoy3101
Medals 0

or is it 113.04

an hour ago

60
NunChuckBoy3101
Medals 0

@jim_thompson5910

an hour ago

99
jim_thompson5910
Best Response
Medals 1

V=π∗r2∗h
169.56=3.14∗62∗h
h=???

an hour ago

60
NunChuckBoy3101
Medals 0

idk what to do

an hour ago

60
NunChuckBoy3101
Medals 0

@jim_thompson5910

an hour ago

99
jim_thompson5910
Best Response
Medals 1

you have to solve for h

an hour ago

99
jim_thompson5910
Best Response
Medals 1

look at the last steps I posted above

an hour ago

60
NunChuckBoy3101
Medals 0

h=0.870

an hour ago

60
NunChuckBoy3101
Medals 0

@jim_thompson5910

an hour ago

99
jim_thompson5910
Best Response
Medals 1

what is 3.14*6^2 equal to?

an hour ago

60
NunChuckBoy3101
Medals 0

113.04 i kept getting that earlier but i thought it was wrong

an hour ago

99
jim_thompson5910
Best Response
Medals 1

now you have 169.56 = 113.04*h

an hour ago

99
jim_thompson5910
Best Response
Medals 1

divide both sides in 169.56 = 113.04*h by 113.04 to isolate h

an hour ago

60
NunChuckBoy3101
Medals 0

SO 113.04*113.04

an hour ago

60
NunChuckBoy3101
Medals 0

?

an hour ago

99
jim_thompson5910
Best Response
Medals 1

169.56 = 113.04*h 169.56/113.04 = h h = ???

an hour ago

60
NunChuckBoy3101
Medals 0

oh ok 1.5

an hour ago

99
jim_thompson5910
Best Response
Medals 1

yes

Answer 11

@StudyGurl14

Answer 12

one thing i noticed is you didn't divide 169.646... by 3 to get the volume of the cone

Answer 13

then take what you get from that^ and divide it by 6^2pi

Answer 14

to get the height

Answer 15

2

Answer 16

yep. :)

Answer 17

except express to the nearest tenth

Answer 18

ok thank you can you help with another

Answer 19

sure. close this post and open a new one. tag me