Question

I've look around OpenStudy and the net, but can't seem to find an understandable tutorial.

"Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi."

Answer 1

Work backwards from the volume formula 1/3pir^2h

Answer 2

\[\huge \frac{ 1 }{ 3 } (3.14)r^25 = 83.74\]

Answer 3

V = 1/3 (p)(r^2)(h)

> "Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi."

83.74 = 1/3 (3.14)(r^2)(5)

Answer 4

Would I have to isolate r?

Answer 5

oh whoops

Answer 6

multiply both sides by 3 and divide both sides by 3.14 and 5

Answer 7

I got r^2 = 16.00127..
take the square root of both sides and you get:
r = 4.0001

Answer 8

basically 4 since we approximated pi

Answer 9

83.74 = 1/3 (3.14)(r^2)(5)

251.22 = (3.14)(r^2)(5)
80.0063694268 = r^2 * 5
16.0012738854 = r^2
4.00015923251 = r

Answer 10

correct. we can verify this by plugging the numbers back into the original equation

Answer 11

However, 4.00015923251 is the radius @cleats , we're being asked to find the diameter. (radius is half the diameter)

So we would say 2 x 4.00015923251 = 8.00031846502

Correct?

Answer 12

oh, that part went over my head. Yes. Radius is half the diameter. Correct

Answer 13

Thanks (:

Answer 14

:)*

Answer 15

You should just report the user.

Answer 16

we did but the nazimods always seem to be around when I'm doing the naughty things

Answer 17

anyhow, apologies for going off topic. Have fun bby

Answer 18

>Nazimods

Hehe. You're funny.

Have a good day. (;