Question

The volume of a cone is three hundred cubic kilometers. If the radius of the base is 6 kilometers, what is the height of the cone? Use three point one four for pi. Show your work and round to the nearest tenth.

Answer 1

waw, this cone so big :)

Answer 2

Hmm, well you know that the volume of a cone can be found using the equation

V = (1/3) pi r² h

you KNOW V....and r so

300 = (1/3) (3.14) (6²) (h)

so rearrange and solve for h :)

Answer 3

i dont get it

Answer 4

\[V = \frac{ 1 }{ 3 }\pi r² h\]

you know V, pi, and r ...so

\[300 = \frac{ 1 }{ 3 } (3.14) (6^2)(h)\]

so you would multiply both sides by 3 to get rid of that fraction

\[900 = 3.14 (6^2) h\]

Divide both sides by (3.14)(6^2)

\[\frac{ 900 }{ (3.14)(6^2) } = h\]

Do out the math and see that the height of the cone is...?

Answer 5

Don't forget to round to the nearest tenth :)

Answer 6

um... its 1.9

Answer 7

not quite....

900
-------
3.14(36)

36 times 3.14 = 113.04

so

900
---- = ...?
113.04

Answer 8

7.96

Answer 9

perfect...and rounded to the nearest tenth would be...

Answer 10

8

Answer 11

And you're all set! :)

Answer 12

thank you so much

Answer 13

anytime! :)