Q13. A cylindrical container of choco... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 10: Q13. (page 661)

A cylindrical container of chocolate drink mix has a volume of about $162 鈥夆赌� i n^{3}$ . The radius of the container can be found by using the formula $r = \sqrt{\frac{V}{蟺 h}}$ , where $r$ is the radius and $h$ is the height. If the height is $8.25$ inches, find the radius of the cylinder.

Short Answer

Expert verified

The radius of the cylinder is $2.5$ inches.

Step by step solution

Step 1. State the concept of ‘Volume of cylinder’.

The volume of a cylinder is the capacity of the cylinder which tells the amount of material it that can be immersed in it.

Suppose $鈥� r 鈥�$ is the radius and $鈥� h 鈥�$ is the height of the cylinder, then the volume of the cylinder $(V)$ is given as:

$V = 蟺 r^{2} h$

Step 2. State the concept of ‘principle square root’.

Every real numbers have two square roots, one positive and one negative. The non-negative (positive) square root is called the Principal square Root. Principal square root is denoted as $\sqrt{}$ .

Step 3. Calculate the radius.

Substitute $V = 162$ and $h = 8.25$ in $r = \sqrt{\frac{V}{蟺 h}}$ to get the required value.

$\begin{matrix} r = \sqrt{\frac{V}{蟺 h}} \\ = \sqrt{\frac{162}{蟺脳 8.25}} \\ = \sqrt{\frac{162}{25.918}} \\ = \sqrt{6.250} \\ = \sqrt{6.25} \\ = 2.5 \end{matrix}$

Therefore, the radius of the cylindrical container is $2.5$ inches.

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91影视

Short Answer

Step by step solution

Step 1. State the concept of ‘Volume of cylinder’.

Step 2. State the concept of ‘principle square root’.

Step 3. Calculate the radius.

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91影视

A cylindrical container of chocolate drink mix has a volume of about162鈥夆赌�in3. The radius of the container can be found by using the formular=V蟺h, whereris the radius andhis the height. If the height is8.25inches, find the radius of the cylinder.

Short Answer

Step by step solution

Step 1. State the concept of ‘Volume of cylinder’.

Step 2. State the concept of ‘principle square root’.

Step 3. Calculate the radius.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.