Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
(18 cm
B.
10 cm
A
5 cm
Work out the volume of cylinder B.

A And B Are Two Cylinders That Are Mathematically Similar The Area Of The Crosssection Of Cylinder A Is 18 Cm 18 Cm B 10 Cm A 5 Cm Work Out The Volume Of Cylind class=

Sagot :

Answer:

Volume is 718 cm^3

Step-by-step explanation:

We need to get the radius of cylinder A

From the base area,

we have that;

A = pi * r^2

18 = 3.142 * r^2

r^2 = 18/3.142

r^2 = 5.73

r= √5.73

r = 2.39

If two shapes are similar, we have the ratio of their corresponding sides equal;

Thus;

2.39/5 = x/10

x = (10 * 2.39)/5

x = 4.78 cm

To get the volume, we use the formula

V = pi * r^2 * h

V = 3.142 * 4.78^2 * 10

V = 717.8 cm^3

This is approximately 718 cm^3

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.