Introduction to the Volume of a Cone Answers
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1
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Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below.Step 1Find the radius.radius = Step 2Find the area of the base.Area of base = Step 3Multiply the area of the base by the height.Step 4Divide 54 by 3 to find the volume of the cone.Volume of the cone = What was Ahmed’s first error?
A
In Step 1, the radius should be found by multiplying the diameter by 2.B
In Step 2, the formula should be used to find the area of the circle.
C
In Step 3, the resulting area should be in terms of .
D
In Step 4, the units of the resulting volume should be .
2
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Which equation represents the volume of a cone with the same base and height as the cylinder below?
A
Volume cone = pi t squared k
B
Volume cone = one-third pi t squared k
C
Volume cone = one-half pi t squared k
D
Volume cone = 3 pi t squared k
3
The volume of a cylinder is . What is the volume of a cone with the same base and height as the cylinder?
A
39 pi centimeters cubed
B
52 pi centimeters cubed
C
78 pi centimeters cubed
D
156 pi centimeters cubed
4
What number can be used to complete the volume statement for the cone?Volume =
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