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Applications with Volume of Cones

Authored by Shana Speicher

Mathematics

8th - 9th Grade

CCSS covered

Used 8+ times

Applications with Volume of Cones
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13 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown. What is Fatima's error?

In step 4, Fatima did not find the correct value of 8/3(88).

In step 2, Fatima should not have multiplied (1/3) and 8.

In step 3, Fatima did not multiply 88 by the reciprocal of (8/3).

In step 1, Fatima did not substitute the correct value for the height in the formula.

Tags

CCSS.8.EE.A.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 120 mm. The icicle drips at a rate of 75 mm3 per minute. How long will it take the icicle to completely melt? Use 3.14 for π. Round the answer to the nearest tenth.

5.1 minutes

7.5 minutes

15.1 minutes

33.9 minutes

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Fill in the blank to make the statement true. Use 3.14 for π. Round to the nearest hundredth.

The volume of the green candle is about (a)   in3.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Fill in the blank to make the statement true. Use 3.14 for π.

The diameter of the green candle is (a)   inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Fill in the blank to make the statement true. Use 3.14 for π. Round to the nearest hundredth.

The base area of the green candle is about (a)   in2.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Fill in the blank to make the statement true. Use 3.14 for π.

The price of one green candle is about $ (a)   .

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base?

46 = (1/3)(B)2(800)

46 = (1/3)(B)(800)

800 = (1/3)(B)2(46)

800 = (1/3)(B)(46)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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