Question

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

Name: Problem 6, Chapter 0: Algebra and Trigonometry
Uploaded: 2019-06-07T19:06:15-08:00
Duration: 55 s
Channel: Taylor Shimono
Description: Using Models Use the model given to answer the questions about the object or process being modeled. The volume V of a cylindrical can is modeled by the formula V=πr^2 h where r is the radius and h is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

   Using Models Use the model given to answer the questions about the object or process being modeled.

The volume $V$ of a cylindrical can is modeled by the formula
$$V=\pi r^{2} h$$
where $r$ is the radius and $h$ is the height of the can. Find the
volume of a can with radius 3 in. and height 5 in.

Algebra and Trigonometry

James Stewart,… 4th Edition

Chapter 0, Problem 6

Instant Answer

Solved by Expert Taylor Shimono

06/07/2019

Step 1

We are also given that the radius $r$ is 3 inches and the height $h$ is 5 inches. Show more…

Show all steps

Thanks for your feedback!

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Volume of a Cylinder

This concept refers to calculating the space inside a cylindrical shape by multiplying the area of its circular base by its height. The formula V = ?r²h succinctly captures how the dimensions of the radius and height influence the overall volume of the object.

Mathematical Modeling

Mathematical modeling involves using equations to represent physical objects or processes. In this context, the cylindrical can is represented by a formula that encapsulates its geometric properties, allowing for systematic computation and analysis of its volume.

Substitution in Equations

Substitution is the technique of inserting specific numerical values into an algebraic formula to compute a particular outcome. This fundamental method is essential in applying theoretical models to real-world scenarios, enabling the transition from abstract formulas to concrete results.

Please give Ace some feedback