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Find the volume in terms of pi

Find the volume in terms of pi-example-1
User Superfell
by
5.3k points

2 Answers

6 votes

Answer:

471.24 in³

Explanation:

Volume of the left cone

= 1/3 π (5)²(7)

= 175π/3 in³

Volume of the right cone

= 1/3 π(5)²(11)

= 275π/3 in³

Total volume

= 175π/3 + 275π/3

= 150π

= 471.24 in³

User Johannes Barop
by
4.4k points
4 votes

Answer:

450pi

Explanation:

The volume of this figure is just the sum of the volumes of two cones. They both have radius of 5 and one has a height of 7 and the other has a height of 11.

The easiest way (for me) to calculate the volume is to find the average of the heights (9) and multiply the volume of a cone with the same radius as the other two and the other height by two.

The volume for a cone is just (pi*r^2*h)/3, so the 'average' cone's volume is 25pi * 9/3 or 75pi.

Double this to get 150pi.

Alternatively, you could calculate the volumes of the two cones using separate heights, but here you will end up with non-whole numbers (times pi) for both cones if you use that method.

User Darren Hicks
by
4.8k points