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Solve Geometry Applications: Volume and Surface Area: example 9.55 · Physics Playground

Exercises Word problems and geometry

Example 9.55 from Prealgebra, 9.6 Solve Geometry Applications: Volume and Surface Area

Solve Geometry Applications: Volume and Surface Area: example 9.55

Find the volume of a cone with height $6$ inches and radius of its base $2$ inches.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Step 1. Read the problem. Draw the figure and label it with the given information.
Step 2. Identify what you are looking for.	the volume of the cone
Step 3. Name. Choose a variable to represent it.	let V = volume
Step 4. Translate. Write the appropriate formula. Substitute. (Use 3.14 for $π$ )	$V = \frac{1}{3} π r^{2} h$ $V \approx \frac{1}{3} 3.14 {(2)}^{2} (6)$
Step 5. Solve.	$V \approx 25.12$
Step 6. Check: We leave it to you to check your calculations.
Step 7. Answer the question.	The volume is approximately 25.12 cubic inches.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the volume of a cone with height $7$ inches and radius $3$ inches

How did it go?

PreviousSolve Geometry Applications: Volume and Surface Area: example 9.54 Next Solve Geometry Applications: Volume and Surface Area: example 9.56

From Prealgebra (1st edition) by OpenStax (Rice University), section 9.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.