Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

I need to know what’s the answer and how to work it out

I Need To Know Whats The Answer And How To Work It Out class=

Sagot :

First, we find the volume of the cylindrical object then we subtract the volume of the cone-shaped hole. Therefore:

-The volume of the cylinder is given by

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

Where

r = 5 inches

h = 15 inches

So,

[tex]V=\pi\cdot(5)^2\cdot15=(3.14)\cdot25\cdot15=1177.5[/tex]

-The volume of the hole is given by

[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

Where

r = D/2 = 6/2 = 3 inches

h = 9 inches

[tex]V=\frac{\pi\cdot(3)^2\cdot9}{3}=\frac{\pi\cdot9\cdot9}{3}=\frac{\pi\cdot81}{3}=27\pi=27(3.14)=84.78[/tex]

Next, the volume of the cylindrical object is

[tex]V=1177.5-84.78=1092.72[/tex]

Answer: 1092.72 cubic inches

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.