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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

<u>case A)</u> The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

<u>case D)</u> The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Which of the following is equal to the product of 32 and 1/4 ?

Oxana [17]

Hey there!

The answer to your question is 8

In math, the "product of" represents multiplication, so we multiply the 2 numbers.

32 x 1/4 = 8

Hope this helps! Good luck, and have a great day!

8 0

3 years ago

Is this equation true or false? 4(-5) = (-25)

aleksandr82 [10.1K]

4*-5 is -20 is does not equal -25 so it’s false

3 0

3 years ago

Give the Solution to the System of

Illusion [34]

Answer:

Step-by-step explanation:

-10 g

3 0

2 years ago

A rectangle’s length is 6 more than 4 times its width. If the perimeter is 42, how long is the rectangle

Ainat [17]

The Length of the rectangle is 18 unit.

<h3>What is the Perimeter of a Rectangle?</h3>

Perimeter of rectangle = 2(length + width)

Given the following:

Let x represent the width of the rectangle

Width of the rectangle = x

Length of the rectangle = 4x + 6

Perimeter of rectangle = 42 units

Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:

2(4x + 6 + x) = 42

2(5x + 6) = 42

10x + 12 = 42

10x = 42 - 12

10x = 30

10x/10 = 30/10

x = 3

The width (x) = 3.

Length of the rectangle = 4(3) + 6

Length of the rectangle = 18 unit.

Learn more about perimeter of rectangle on:

brainly.com/question/24571594

#SPJ1

7 0

2 years ago