## anonymous one year ago 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.

1. anonymous

I got 157

2. anonymous

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

3. anonymous

I got 157 again

4. anonymous

so 157 yd^2

5. jim_thompson5910

what is 5^2 equal to?

6. jim_thompson5910

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

7. anonymous

25

8. jim_thompson5910

now what is 25 times 6 equal to

9. anonymous

150

10. jim_thompson5910

now multiply that by 1/3

11. anonymous

50

12. jim_thompson5910

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

13. jim_thompson5910

Now just place the 'pi' back in $\Large \frac{1}{3}\pi*5^2*6=50\pi$

14. jim_thompson5910

$$\Large 50\pi$$ is the exact volume of this cone

15. anonymous

sooo 50 *3.14 = 157?

16. jim_thompson5910

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 $$\Large 50\pi$$

17. anonymous

OH!!!!

18. jim_thompson5910

157 would work for the approximate volume though

19. anonymous

thank you. so its 50pi yd^2?

20. jim_thompson5910

volume is always with "cubic" in it cubic feet cubic inches cubic millimeters etc

21. jim_thompson5910

yd^2 = square yards = area or surface area

22. anonymous

so its ^3

23. jim_thompson5910

yes yd^3 = cubic yards

24. anonymous

thanks

25. jim_thompson5910

np