Question

Check my answer for medal and fan please
Find the volume of a cone with a base radius of 5yd and a height of 6yd . Write the exact volume in terms of π , and be sure to include the correct unit in your answer.

Answer 1

I got 157

Answer 2

\[Volume =\frac{ 1 }{ 3 }\pi r^2h=\frac{ 1 }{ 3 }\pi* 5^2*6 ~cubic~yards=?\]

Answer 3

I got 157 again

Answer 4

so 157 yd^2

Answer 5

what is 5^2 equal to?

Answer 6

hints:

7^2 = 7*7
8^2 = 8*8
9^2 = 9*9
10^2 = 10*10
etc etc

In general

x^2 = x*x

Answer 7

25

Answer 8

now what is 25 times 6 equal to

Answer 9

150

Answer 10

now multiply that by 1/3

Answer 11

50

Answer 12

So you have computed \[\large \frac{1}{3}*5^2*6\]
You found that \[\large \frac{1}{3}*5^2*6=50\]

Answer 13

Now just place the 'pi' back in


\[\Large \frac{1}{3}\pi*5^2*6=50\pi\]

Answer 14

\(\Large 50\pi\) is the exact volume of this cone

Answer 15

sooo 50 *3.14 = 157?

Answer 16

when they say exact volume they mean in terms of pi. They even say "in terms of π" in the instructions. That means you do NOT replace pi with 3.14 and multiply. You just leave the pi alone. So it's simply \(\Large 50\pi\)

Answer 17

OH!!!!

Answer 18

157 would work for the approximate volume though

Answer 19

thank you. so its 50pi yd^2?

Answer 20

volume is always with "cubic" in it

cubic feet
cubic inches
cubic millimeters
etc

Answer 21

yd^2 = square yards = area or surface area

Answer 22

so its ^3

Answer 23

yes yd^3 = cubic yards

Answer 24

thanks

Answer 25

np