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36 votes
36 votes
The diagram below shows a solid consisting

of a cone and a cylinder with a common
base. Find the
(a) volume of the solid,
(b) total surface area of the solid.
(Leave your answer in terms of TT

The diagram below shows a solid consisting of a cone and a cylinder with a common-example-1
User Anand Jha
by
3.0k points

2 Answers

12 votes
12 votes
B is the answer if you need help yup
User Kirill Korolev
by
3.1k points
17 votes
17 votes

Answer:

A.) 15984.42cm^2/5088πcm^3

B.) 3466.56cm^2/1104πcm^2

Explanation:

A.) fine the V of the cone and then cylinder then add them.

B.) The cone you have to find the LA (lateral area) to do that you would do is find S (slant) so you would do 12^2+16^2 which is 400 then u have to find the square root of it which is 20 which is that slant of the cone. After that you would do 12x20 which gives 240 that would be the LA of the cone.

Then you would find the LA of the cylinder which you have to do is 30x12 which is 360 then multiply it by 2 which gives 720.

Lastly you find the area of the base which in this case is a circle and that would be 144 add all of them then get the SA

User Adamfinstorp
by
3.1k points
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