Question

Find the volume of a cylinder of height 6" and base with circumference 16"

Answer 1

V = pir2h right?

Answer 2

Yep

Answer 3

Base circumference is 16..so find the radius.

Answer 4

\(\sf C = 2 \pi r\)

Plug in what we know:

\(\sf 16 = 2 (3.14)r\)

Solve for 'r', multiply 2 * 3.14 and divide it to 16.

Answer 5

0.3925

Answer 6

Check again

Answer 7

2.54?

Answer 8

divide it by 16 or 16 by it?

Answer 9

2.55 if you want to round.

Answer 10

ahh ok then V = 2.55(2)*6

Answer 11

Not quite.

\(V = (3.14)(2.55^2)(6)\)

Answer 12

ahh yes forgot pi

Answer 13

Does it want you to simplify pi?

Answer 14

no, its multiple choice and it gives me
96pi
192pi
384pi

Answer 15

Oh, okay..so forget about pi.

\(\sf V = (2.55^2)(6)\)

Answer 16

39.015

Answer 17

Yep that's our answer.

Answer 18

not one of the choices?

Answer 19

"Find the volume of a cylinder of height 6" and base with circumference 16""

Is that 'with circumference of 16 pi'?

Answer 20

yeah sorry it didnt copy over

Answer 21

Okay, so we have to find the radius over again.

\(\sf C = 2 \pi r\)

Plug in what we know:

\(\sf 16\pi = 2 \pi r\)

pi cancels out:

\(\sf 16 = 2r\)

Divide 2 to both sides, what's 16 / 2?

Answer 22

8

Answer 23

Yes, now plug that into the formula again.

\(\sf V = \pi r^2 h\)

\(\sf V = (8)^2(6)\)

Simplify

Answer 24

so 384?

Answer 25

Yep, you got it.

Answer 26

awesome thanks you