kwil5940
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Sagot :

Answer:

A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]

B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]

C: 351.68[tex]cm^{2}[/tex]

Step-by-step explanation:

MrRoyal

The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base

The area of the base is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = \pi *4^2[/tex]

[tex]A = 16\pi[/tex]

Hence, the area of the base is [tex]16\pi[/tex]

The cubic inches that can fill the cylinder

This is the volume of the cylinder.

So, we have:

[tex]V = \pi r^2h[/tex]

Substitute known values

[tex]V = \pi * 4^2 * 7[/tex]

[tex]V = 112\pi[/tex]

Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]

The decimal approximation

We have:

[tex]V = 112\pi[/tex]

Expand

[tex]V = 112 * 3.14[/tex]

Evaluate the product

[tex]V = 351.68[/tex]

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Read more about volume at:

https://brainly.com/question/10171109

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.