Question

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.



ft

Answer 1

@jim_thompson5910

Answer 2

what is the volume of the cone?

Answer 3

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.

Answer 4

it doesn't say @jim_thompson5910

Answer 5

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

Answer 6

ok

Answer 7

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

Answer 8

@jim_thompson5910

Answer 9

\[\Large V = \frac{1}{3}*\pi*r^2*h\] is the formula you need

Answer 10

for the volume of a cone

Answer 11

what should i do with 2 radius though

Answer 12

"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

Answer 13

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

Answer 14

yes

Answer 15

what is that equal to

Answer 16

ok so it is equal to 169.56

Answer 17

good

Answer 18

Volume of a Cylinder
\[\Large V = \pi*r^2*h\]

Answer 19

so that is correct?

Answer 20

plug V = 169.56 into
\[\Large V = \pi*r^2*h\]
along with r = 6

Answer 21

then solve for h

Answer 22

339.12?

Answer 23

or is it 113.04

Answer 24

@jim_thompson5910

Answer 25

\[\Large V = \pi*r^2*h\]
\[\Large 169.56 = 3.14*6^2*h\]
\[\Large h = ???\]

Answer 26

idk what to do

Answer 27

@jim_thompson5910

Answer 28

you have to solve for h

Answer 29

look at the last steps I posted above

Answer 30

h=0.870

Answer 31

@jim_thompson5910

Answer 32

what is 3.14*6^2 equal to?

Answer 33

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

Answer 34

now you have

169.56 = 113.04*h

Answer 35

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

Answer 36

SO 113.04*113.04

Answer 37

?

Answer 38

169.56 = 113.04*h

169.56/113.04 = h

h = ???

Answer 39

oh ok 1.5

Answer 40

yes

Answer 41

so thats my answer?

Answer 42

ok thank you so much

Answer 43

@jim_thompson5910 was that my answer?