Question

How do you Use a Riemann sum to find volume?

Answer 1

If you have a cross-sectional area function `A(x)` of the solid that spans from `x=a` to `x=b`, then you can find the volume `V` by

`V=int_a^b A(x)dx`,

which can be expressed as the limit of the right Riemann sum

`=lim_{n to infty}sum_{i=1}^infty A(a+iDeltax)Delta x`,

where `Delta x={b-a}/n`