Katherine is using a cone to fill a cylinder with sand. if the radii and height are equal on both objects, and katherine fills the cone to the very top, how many cones will it take to fill the cylinder with sand? complete the explanation. it will take cones to fill the cylinder with sand. because the volume formula for a cylinder is v = πr2h, and the volume formula for a cone is v = 1 πr2h, the volume of a cone is 1 the volume of the cylinder.

3 cones will take it to fill the cylinder with sand.

Step-by-step explanation:

Given Radius and height of the cone and cylinder are equal.

We have to tell how many cones can fill the cylinder.

To fill the sand in the cylinder and cone.

We use concept of volume.

Volume of cylinder = πr²h

Volume of cone =

let n be number of cones required to fill the cylinder.

According to the question,

n × volume of cone = volume of cylinder

Therefore, 3 cones will take it to fill the cylinder with sand.

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by definition, an arc subtended by a central angle of some given measure has the same measure. so .