AnswersSSCR 26 Math Essentials BApplications with the Volume of a Cone

Applications with the Volume of a Cone Answers

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What is the base area?14.33 square feet28.67 square feet36.86 square feet✔ 43.00 square feet

A
14.33 square feet
B
28.67 square feet
C
36.86 square feet
D
43.00 square feet
6

Analyze Mario’s work. Is he correct? If not, what was his mistake?

A
Yes, he is correct.
B
No, he did not correctly square 12 on the left side.
C
No, he did not use the radius measure in the formula.
D
No, he did not correctly undo the multiplication on the right side.
9

How much volume is left after 10 minutes?750 cubic millimeters2,769.91 cubic millimeters✔ 3,019.92 cubic millimeters3,169.91 cubic millimeters

A
750 cubic millimeters
B
2,769.91 cubic millimeters
C
3,019.92 cubic millimeters
D
3,169.91 cubic millimeters
10

Which statements apply to this scenario? Check all that apply.

A
The volume of the candle is about 12.57 in.3.
B
The volume of the candle is about 25.13 in.3
C
The diameter of the candle is 0.5 inch.
D
The base area of the candle is about 3.14 in.2.
E
The price of the candle is about $5.03.
F
The price of the candle is about $10.05.
11

What measurements of a cone can be found if you know the volume and height? Explain how to apply the formula.

Answer:

If you know the volume and height of a cone, you can determine the base area, the radius, and the diameter. To find these, substitute the given values into the formula V (1/3)πr²h. Isolate the unknown variable by multiplying both sides by 3 and dividing by π and the height. Then, take the square root of both sides to solve for the radius. The diameter can be found by doubling the radius, and the base area can be found using the formula B πr².

12

Which equation represents the scenario?V = (1/3)(10.5)(4.5)4.5 = (1/3)(10.5)(h)10.5 = (1/3)(4.5)(h)✔ 10.5 = (1/3)B(4.5)

A
V = (1/3)(10.5)(4.5)
B
4.5 = (1/3)(10.5)(h)
C
10.5 = (1/3)(4.5)(h)
D
10.5 = (1/3)B(4.5)
14

Which did you include in your response?

A
You can determine base area, radius, and diameter if you know the volume and height.
B
Substitute the known values into the formula.
C
Solve for the unknown variable.

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