A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with grain from the container. The cones have a radius of 4 centimeters and a height of 9 centimeters. How many times can you fill a cone with the grain that is stored in the container? Use 3.14 to approximate the value of Pi.

Question

Precious Rice

Mathematics

5 September, 18:57

A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with grain from the container. The cones have a radius of 4 centimeters and a height of 9 centimeters. How many times can you fill a cone with the grain that is stored in the container? Use 3.14 to approximate the value of Pi.

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Answers (1)

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Pablo Kim · Answer 1

54

Step-by-step explanation:

The volume of the cone is given by the formula ...

V = (1/3) πr²h

so the volume of the paper cone is ...

V = (1/3) (3.14) (4 cm) ² (9 cm) = 150.72 cm³

The volume of the grain container is ...

8133.88/150.72 = 54

times that of the cone.

You can fill a cone 54 times with the grain stored in the container.