6. More Applications of Integration

Surface Area — Quiz

Test your understanding of surface area with 5 practice questions.

Practice Questions

Question 1

Which formula gives the surface area generated when the graph of $y=f(x)$ for $a\le x\le b$ is revolved about the $x$-axis?

Question 2

What geometric quantity does the factor $2\pi r$ represent in the surface area formula for a surface of revolution?

Question 3

If lengths are measured in meters, what are the units of surface area?

Question 4

For a differentiable curve $y=f(x)$, what is the arc length element $ds$ in terms of $dx$?

Question 5

Which formula gives the surface area generated when the graph of $y=f(x)$ for $a\le x\le b$ is revolved about the $y$-axis?