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Bad White [126]
4 years ago
9

During a construction project, heavy rain filled construction cones with water. The diameter of a cone is 12 in. and the height

is 27 in.
What is the volume of the water that filled one cone?
Enter your answer as a decimal in the box. Use 3.14 for pi.

in³
Mathematics
1 answer:
sergey [27]4 years ago
3 0
Volume of a cone = <span>πr^2(h/3)
r=6
h=27

v = </span><span>π(6^2)27/3
v = </span><span>π (36)(9)

v=</span><span>π324 in. cubed
or 
v=1,017.36 in. cubed </span>
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By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is A=10\cdot 5=50.

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 2\cdot 5=5.

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Thus, the area of the total irregular figure is:

50+5+12.5=\boxed{67.5\text{ [square units]}}

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