Question

Describe in words the surface whose equation is given

\({\rm{r = 5}}\).

Short answer

A cylinder is the given surface

Step-by-step solution

Concept Introduction

A multiple integral is a definite integral of a function of many real variables in mathematics (particularly multivariable calculus), such as f(x, y) or f(x, y) (x, y, z). Integrals of a two-variable function over a region

 Step 2:Explanation of the solution

Rewrite \({\rm{r}}\) as \({{\rm{r}}^{\rm{2}}}{\rm{ = }}{{\rm{x}}^{\rm{2}}}{\rm{ + }}{{\rm{y}}^{\rm{2}}}{\rm{ = 25r}}\) to find out what the surface is.

Because \({\rm{z}}\) can be anything, the supplied surface is a 5-radius cylinder.