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10 votes
10 votes
Find the volume of a grain storage building that has

a cylinder bottom that is 20 meters in diameter and
10 meters in height. It has a cone-shaped top as a
roof that has the same diameter as the bottom and a
height of 6 meters. Find the volume of the building
in cubic meters if it was full of grain from the
bottom to the top of the roof. All measures noted in
the diagram below are in meters. Use = 3.14 in
your calculations. Enter only the number.
m
10 m
The solution is
10 m

User Kin Siang
by
2.4k points

2 Answers

10 votes
10 votes

Final answer:

The volume of the grain storage building can be found by calculating the volume of the cylindrical bottom and the cone-shaped top separately, and then adding them together.

Step-by-step explanation:

The volume of the grain storage building can be calculated by finding the volume of the cylindrical bottom and the volume of the cone-shaped top separately, and then adding them together.

The volume of the cylinder is given by the formula V = πr²h, where r is the radius (half the diameter) and h is the height. So, the volume of the cylinder is V = π(10m)²(10m) = 100π m³.

The volume of the cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. So, the volume of the cone is V = (1/3)π(10m)²(6m) = 200π m³.

Therefore, the total volume of the grain storage building is V = 100π m³ + 200π m³ = 300π m³.

User Juanmeanwhile
by
2.8k points
6 votes
6 votes

Answer:

3770. 4 m³

Step-by-step explanation:

i took the test

User Batuta
by
3.1k points