# Volume of a solid

• August 2nd 2009, 01:09 PM
chevy900ss
Volume of a solid
What is the volume of:
y=square root(x), y=1, x=4
• August 2nd 2009, 01:34 PM
o_O
Use the disc method. We create a disc by making a cross section perpendicular to the x-axis. The volume is then given by $\int_a^b A(x) dx$ where $A(x)$ is the area of our disc and $x= a, \ b$ are our bounds.

More here: Volume with Rings
• August 2nd 2009, 01:41 PM
chevy900ss
is that the same as
V=(pie)interval from a to b((f(x)^2)-(g(x)^2) dx
• August 2nd 2009, 01:44 PM
o_O
Yes. What is our $f(x)$ and $g(x)$ in this case?
• August 2nd 2009, 01:47 PM
chevy900ss
f(x)=square root of x
g(x)=1
• August 2nd 2009, 01:52 PM
chevy900ss