Read the following SAT test question and then click on a button to select your
answer.
An artist has a container in the shape of a right circular 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 radius of 6(cm). end text What is the maximum number of spheres of this size that the artist will be able to sculpt?
A.10
B.12
C.24
D.62
重点单词：
radius ['reidiəs] n. 半径，桡骨，半径范围，辐射区
internal [in'tə:nəl] adj. 国内的，内在的，身体内部的
calculate ['kælkjuleit] v. 计算，估计，核算，计划，认为
cylinder ['silində] n. 汽缸，圆筒，圆柱体
container [kən'teinə] n. 容器，集装箱
sculpt [skʌlpt] vt. 雕刻 n. 雕刻，雕塑，雕刻品，雕塑品
circular ['sə:kjulə] adj. 循环的，圆形的
multiple ['mʌltipl] adj. 许多，多种多样的
display [di'splei] n. 显示，陈列，炫耀
formula ['fɔ:mjulə] n. 公式，配方，规则;代乳品
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 is4/3π6^3. 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 fractionπ(10^2)(30)/4/3π6^3, which is 10
