Volumes about the Y-Axis (1 Viewer)

[flon]

The curve y=x^3 is rotated about the y-axis from y = 0 to y= 1.

Find the value of the solid formed.

Thanks in advance.

 

[L]

llol, are u that bad at maths?

 

[jet]

 

[GUSSSSSSSSSSSSS]

回覆: Volumes about the Y-Axis

y = x^3 --> x = y^(1/3)
volume = piS[f(y)]^2 . dy OR piS[x^2]dy
therefore

volume = pi.S[y^(2/3)]dy ...........limits: 1 --> 0
=pi[(3/5)y^(5/3)] ...........limits: 1 --> 0
=3pi/5

 

[Fortify]

You guys forgot to x^2.

V = pi [int] x^2 dy ?

 

[Fortify]

x^2 = y ^2/3

V = pi [int] y^2/3 dy with limits of 1 and 0
V = pi [3/5 * y ^ 5/3 ] with limits of 1 and 0
V = pi [3/5 - 0]
V = 3pi/5 units^3

 

[lychnobity]

x^2 = y ^2/3

V = pi [int] y^2/3 dy with limits of 1 and 0
V = pi [3/5 * y ^ 5/3 ] with limits of 1 and 0
V = pi [3/5 - 0]
V = 3pi/5 units^3

ie the right one.

 

[jet]

LOL. I can't believe i forgot that!
+ 1.

 

[flon]

LOL

dw jetblack i made the same mistake as you. thats why i couldnt get it right.

 

[jet]

Ironically, I put x² in the formula.....

 

[Fortify]

How ironic.

 

[Gibbatron]

 

[GUSSSSSSSSSSSSS]

回覆: Re: Volumes about the Y-Axis

LOL. I can't believe i forgot that!
+ 1.

FUCK SO TRUE !!!!!!!!!

thanks fortify xD

 

[Gibbatron]

In the time it took me to work out how to use the equation editor, everyone else had already posted the answer lol

 

[Fortify]

In the time it took me to work out how to use the equation editor, everyone else had already posted the answer lol

Lol; i still don't know how to use it.