SAT考试9月每日精选题31

>>SAT考试练习：SAT考试9月每日精选题31

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Mathematics>Standard Multiple Choice

Read the following sat test question and thenclick on a button to select your answer.

An artist has a container in the shape of a rightcircular cylinder that is filled with sculpting clay. The container has an internal radius of 10 centimeters(cm) and an internal height of 30(cm) end text. The artist plans to sculpt the clay in the container into spheres, each with a radiusof 6(cm). end text What is the maximum number of spheres of this size that the artist will beable to sculpt?

A.10

B.12

C.24

D.62

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答案：A

解析：

Choice A is correct.

The formula to calculate the volume of a cylinder is Vcylinder=πr^2h where r is the radius and h is the height of the cylinder. The formula to calculate the volume of a sphere is Vsphere=4/3πr^3 where r is the radius of the sphere.

The volume of the clay in the cylinder is π(10^2)(30) and the volume of each sphere is 4/3π6^3. Thus, the number of spheres with a radius of 6 centimeters that the artist will be able to sculpt is the largest integer less than the fraction begin display style fraction π(10^2)(30)/4/3π6^3, which is 10.

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