EL-9900 Graphing Calculator

Solving a Literal Equation Using the Graphic Method (Volume of a Cylinder)

The Solver mode is used to solve one unknown variable by inputting known variables. There are three methods: Equation, Newton’s, and Graphic. The Equation method is used when an exact solution can be found by simple substitution. Newton’s method implements an iterative approach to find the solution once a starting point is given. When a starting point is unavailable or multiple solutions are expected, use the Graphic method. This method plots the left and right sides of the equation and then locates the intersection(s).

Example

Use the Graphic method to find the radius of a cylinder giving the range of the unknown variable.

The formula : V = π r 2h ( V = volume r = radius h = height)

1. Find the radius of a cylinder with a volume of 30in3 and a height of 10in, using the Graphic method.

2. Save the formula as “V CYL”.

3. Find the radius of a cylinder with a volume of 200in 3 and a height of 15in, using the saved formula.

Before Starting

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

As the Solver feature is only available on the Advanced keyboard, this section does not apply to the Basic keyboard.

Step & Key Operation

Display

Notes

1-1

1-2

1-3

1-4

Access the Solver feature.

2nd F SOLVER

Select the Graphic method for solving.

2nd F SOLVER A

3

Enter the formula V = π r 2h.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

π

 

 

ALPHA

 

V

 

ALPHA

=

2nd F

 

 

ALPHA

 

 

 

 

 

 

 

 

 

 

 

R

 

 

x2

 

ALPHA

 

H

 

 

 

Enter the values: V = 30, H = 10. Solve for the radius (R).

ENTER 3 0 ENTER 1

0

 

ENTER

 

 

 

2nd F

 

EXE

This screen will appear a few seconds after “SOLVER” is dis- played.

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Sharp EL9900 manual Access the Solver feature