Question

Derivation of solid of revolution surface area formula with explanation

Answer 1

We can derive a formula for the surface area much as we derived the formula for arc length. We'll start by dividing the interval into n equal subintervals of width Δx . On each subinterval we will approximate the function with a straight line that agrees with the function at the endpoints of each interval.

Answer 2

We can derive a formula for the surface area much as we derived the formula for arc length. We'll start by dividing the interval into n equal subintervals of width Δx . On each subinterval we will approximate the function with a straight line that agrees with the function at the endpoints of each interval.