A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says that the cone can hold about 1,178 Centimeters cubed of sand. Which explains whether Jared is correct?

Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds 4,712 minus 1,178 = 3,534 centimeters cubed less sand than the cylinder.

Jared is correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 4 EndFraction = 1,178 centimeters cubedof sand.

Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.

Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.

Question

Mathematics

Royce Chang

16 February, 11:54

A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says that the cone can hold about 1,178 Centimeters cubed of sand. Which explains whether Jared is correct?

Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds 4,712 minus 1,178 = 3,534 centimeters cubed less sand than the cylinder.

Jared is correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 4 EndFraction = 1,178 centimeters cubedof sand.

Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.

Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.

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Answers (1)

Know the Answer?

Michelle Lowe · Answer 1

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

This means that the volume of a cone is 1/3 * volume of a cylinder if they have the same base and height.

If the cylinder can hold about 4,712 Centimeters cubed of sand and Jared says that the cone can hold about 1,178 Centimeters cubed of sand, then

Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.