169k views
5 votes
Find the volume of the given solid. Leave your answer in terms of pi

Find the volume of the given solid. Leave your answer in terms of pi-example-1

1 Answer

3 votes

Answer: 465 π

Explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V): π x (diameter /2) ² x height

Replacing with the values given and solving for v (Volume)

V = π x (6/2)²x 50

V = 450π

And then for the bottom part:

Volume of a cone = 1/3 x π x (diameter/2)^2 x height

Replacing with the values given:

V = 1/3 π (6/2) ^2 (5) = 15π

Finally we add the volumes:

450π+15π = 465 π

In conclusion, the volume of the solid is 465π m3.

Feel free to ask for more if needed or if you did not understand something

User Ddejohn
by
6.2k points