Question

radical functions
in this activity, you will write, solve, and graph a radical equation modeling a real - world situation.
the cylindrical water tank on a semitrailer has a length of 20 feet. the volume of the tank is equal to the product of π, the square of the radius of the tank, and the length of the tank.
let v represent the volume of the tank, r represent the radius of the tank, and h represent the length of the tank.
part a
question
create an equation could be used to find the volume, v, of the cylindrical tank.

Explanation:

Step1: Recall Cylinder Volume Formula

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height (or length, in this case) of the cylinder.

Step2: Substitute Given Length

The problem states the length (which is the height \( h \) in the cylinder volume formula) of the tank is 20 feet. So we substitute \( h = 20 \) into the formula.
Substituting \( h = 20 \) into \( V = \pi r^2 h \), we get \( V = \pi r^2 \times 20 \), which simplifies to \( V = 20\pi r^2 \).

Answer:

The equation to find the volume \( V \) of the cylindrical tank is \( V = 20\pi r^2 \) (or \( V = \pi r^2 \times 20 \))