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.

Big fraction
Parentheses
Vertical bars
Square root
Root
Superscript (Ctrl+Up)
Subscript (Ctrl+Down)
Plus sign
Minus sign
Middle dot
Multiplication sign
Equals sign
Less-than sign
Greater-than sign
Less-than or equal to
Greater-than or equal to
Pi
Alpha
Beta
Epsilon
Theta
Lambda
Mu
Rho
Phi
Sine
Cosine
Tangent
Arcsine
Arccosine
Arctangent
Cosecant
Secant
Cotangent
Logarithm
Logarithm to base n
Natural logarithm
Bar accent
Right left arrow with under script
Right arrow with under script
Angle
Triangle
Parallel to
Perpendicular
Approximately equal to
Tilde operator
Degree sign
Intersection
Union
Summation with under and over scripts
Matrix with square brackets
V = π × r² × h


Part B
Question
Rewrite the volume formula to create an equation that can use used to calculate the radius, r, of the water tank.

Drag the terms to the correct locations in the equation. Not all terms will be used.


20
⁢
π

20
⁢
h

20
⁢
V

400
⁢
π
⁢
h

V

h
Part C
Question
Graph the radical equation that can be used to calculate the radius, r, of the tank. Use the lowercase "r" and the uppercase "V" when entering the equation. After the equation has been entered, set the value of pi to be 3.14.

7654321-4-3-2-1321Vr8

MARK
RELATIONSHIP▾
DATA
Part D
Question
Suppose the cylindrical water tank has a radius of 12 feet.

Use this information and the equation modeling the radius of the tank to complete these statements.

The volume of the water tank is about cubic feet.