yoyogators 2 years ago Could you help me with this?

1. yoyogators

Which would help to calculate the volume of the composite figure shown?

2. yoyogators

first could you tell me what shape that is?

3. xlegendx

it looks like a prism...

4. xlegendx

no idea what kind though

5. yoyogators

Anyone know what formula i would use to solve this?

6. hartnn

that seems like the combination of prism and a semicirclular figure with uniform height ... do you have the dimensions ?

7. xlegendx

^that's needed. rough idea would be base area x height..so dimensions would be fantastic

8. yoyogators

nope, it doesnt come this the dimensions, the question is asking what formula to use and i dont know which formula that is... here are the answers...

9. yoyogators

base times side one-half times pi times diameter times height one-third times length times width times height pi times radius times slant height

10. xlegendx

i am sorry dear moderator. i had no idea i unconsciously stated an answer. please don't ban me again

11. hartnn

lets see... semicicular region, area = 1/2 pi radius ^2 |dw:1372858384560:dw|

12. hartnn

you did state the answer ? i missed it!

13. xlegendx

let's keep it that way then

14. yoyogators

hartnn, i dont really understand what you drew?

15. yoyogators

The base is a rectangle if thats what you were asking

16. hartnn

i drew the base region, sorry for my bad drawing :P

17. yoyogators

oh okay :p so you think the formula is area = 1/2 pi radius ^2 ?

18. hartnn

thats just for semicircular part... but we need to add the area of rectangle too (1/2 pi r^2) + (2r)*(other side) but you choices do not contain the + (addition) part ..:\

19. yoyogators

oh :/ just from the answers which one would you think it is?

20. hartnn

let me guess, the answer must contain 'pi' due to circular region, so 2nd and 4th alternative but they only differ by the word 'slant' ! (because half of diameter = radius)

21. hartnn

are you sure, choices are correct ? because a volume should contain '3' dimension of length!

22. yoyogators

I would say its B and yes these are the correct answers

23. yoyogators

because once you have done the half circle there isnt anything that has to be done with a slant

24. hartnn

see, your choices a,b,d have only 2 dimensions of length, they all are AREAS!

25. yoyogators

ooooohhh...

26. hartnn

only choice 'c' is volume but it doen't contain pi :\

27. hartnn

if the 1st choice is base 'area' times side, then it can be the answer

28. yoyogators

Yeah i would actually say its C and yes it does the answer on my screen is 1/3TTr^2h

29. yoyogators

the TT is pi

30. yoyogators

I guess i did mess up the answers sorry :/

31. hartnn

ohh..but 'c' didn't describe 1/3 pi r^2 h... anyways, no problem :)

32. yoyogators

Thank you so much!

33. hartnn

welcome ^_^