Question

GEOMETRY The volume of a cylinder is $\mathrm{\pi }$times the radius $r$ squared multiplied by the height $h$. Write an expression for the volume.

Short answer

The expression for the volume of a cylinder is $\pi r^{2}h$.

Step-by-step solution

Step 1. Apply the concept of algebraic expression.

An algebraic expression is a combination of constants, variables, and arithmetic operations.

Step 2. Write given information.

Given: The volume of a cylinder is $\mathrm{\pi }$times the radius $r$ squared multiplied by the height $h$.

Step 3. Write the verbal expression into an algebraic expression.

Here, “$\mathrm{\pi }$times the radius $r$squared” denotes $\mathrm{\pi }$multiplied by $r^2$i.e.role="math" localid="1641440547458" $\pi r^{\mathit{2}}$

Also, “$\mathrm{\pi }$ times the radius $r$squared multiplied by the height $h$” denotesrole="math" localid="1641440563491" $\pi r^{\mathit{2}}$ multiplied by$h$ that is $\pi r^{2}h$.

Thus, the expression for the volume of a cylinder is $\pi r^{\mathit{2}}h$.