Are you Brainy? Help me then!?

Question

the volume , V cubic metres , of a hot air b allon is proportional to the cube of its hight, h metres.
A ballon with a hight of 10 metres has a volume of 500 cubic metres.

Please help

Answer 1

i'm sorry i can be of no help!

Answer 2

While you have missed the actual question you can do something useful with what you have given:

V = kh^3 is the equivalent of volume proportional to cube of height.

Sub in the given values:

500 = kx10^3

k = 500 / 1000

k = 0.5

So, V = 0.5 h^3 for ANY height and volume.

So, in a typical question they will then give you a height and expect you to find the volume and then they will give you a volume and expect you to work out the height.

So, if the height of the balloon is 4m, say, then V = 0.5 x 4^3 = 0.5 x 64 = 32 cubic metres

And if the volume is 13.5 cubic metres, then h^3 = 13.5 / 0.5 = 27
So h = 3m.

Remember,

1 Write out the proportionality as an equation with a constant
2 Use your data to work out the constant
3 Rewrite the equation with the known constant
4 Use your equation to find the unknown from any given.

Hope this helps

Answer 3

V = x * H cubed
if
500 = x * 10 cubed
then
500 = x * 1000
so, x = 1/2

formula is V = (H cubed) / 2

Answer 4

V=T*h^3 where T is a constant

we are given V=500 m^3
h=10m

T=V/h^3
=500/10^3=1/2

therefore,
V=1/2*h^3

i hope that this helps

Answer 5

V=kh^3
500=k*10^3
dividing by 10^3
k=500/1000=1/2
so the equation is v=1/2h^3

Answer 6

V = k(h^3) where k is the proportionality constant.

500 = k (10^3)
k = 500/1000
k = 1/2

So the equation is:
V = (1/2)(h^3)
or
V = (h^3)/ 2

Answer 7

I guess you want to know what is the constant C in the equation:

V=cH

C=50 square metres.

Answer 8

10 x cubed ie 10x10x10=

Answer 9

Yes, I am quite brainy, but I don't do maths! I hope this has answered your question.

Answer 10

no idea,but tks for the 2 pts. lol :P

Answer 11

What exactly are you asking?