Question

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.

4 inches
6 inches
8 inches
10 inches

Answer 1

the first thing is the formula, what is the formula?

Answer 2

Im not sure

Answer 3

let that equal your volume i.e.
\[pixr^2x (h/3) = 104.67 cm^3\]

Answer 4

Now, you are given the height = 4 inches so,
\[\pi x r^2 x (4/3) = 104.67 cm^3\]

Answer 5

Yes

Answer 6

now, lets isolate the r^2

Answer 7

so \[\pi x (4/3) = \]

Answer 8

roughly 4.18879

Answer 9

so now you have 4.18879 r^2 = 104.67 cm^3

Answer 10

dividing across, we get \[104.67cm^3/4.18879 = 24.988 cm^3\]

Answer 11

Okay

Answer 12

r^2 = 24.988cm^3

Answer 13

Sorry im so confused with this question

Answer 14

\[r= \sqrt{24.988}\]

Answer 15

r= 4.99

Answer 16

OH

Answer 17

So its ten

Answer 18

try it now:
\[V= \pi x r^2 x (h/3)\]

Answer 19

\[V= \pi x (5)^2 x (4/3)\]

Answer 20

Now since r= 5, and d= 2r, then the diameter must be 10inches

Answer 21

Yes i get it now thank you so much

Answer 22

You're very welcome!