Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.