Measuring and Estimating Volume of Cones

Find the volume

Express your solution in terms of Pi

Mathematical Equivalence

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The volume of the cone is 410.3 in³.

Find the height of the cone. Use 3.14 for π.

• 8.75in

• 8in

• 7.3in

• 6in

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What is the volume of the cone? Round your answer to the nearest thousandths place.

• 452.389 cm³

• 75.368 cm³

• 150.796 cm³

• 151 cm³

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Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

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Mr. Faucette decided he wanted to figure out the volume of his ice cream cone so he could know just how much ice cream could fit inside. The diameter is three inches and the height is six. What is the volume in pi in decimal form? (Don't include pi in your answer)

(a)  

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• 12.56 ft³

• 37.68 ft³

• 18.84 ft³

• 6.28 ft³

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Calculate the volume of this shape using the correct formula. Round to the hundredths place!

• 392.5 cm²

• 392.5 cm³

• 1177.5 cm³

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Find the volume of the cone. Use the pi button on your calculator.

• 468 m³

• 2205.4 m³

• 6616.2 m³

• 1470.3 m³

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How many cubic inches of water can a cone, that has a congruent base and an equal height to the cylinder, hold?

• The cone holds 75 cubic inches of water.

• The cone holds 21 cubic inches of water.

• The cone holds 1,350 cubic inches of water.

• The cone holds 150 cubic inches of water.

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A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.

• 7,238.2 cm³

• 28,952.9 cm³

• 1,809.6 cm³

• 21,714.7 cm³

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