A cylinder and a cone share the same base and height. Given that the volume of the cylinder is 30 cubic centimeters, what is the volume of the cone?

Recognising cylinders and cones

Worked solution

1. 根据等底等高的圆柱与圆锥体积倍数关系求出圆锥体积

等底等高的圆柱与圆锥，圆锥的体积等于圆柱体积的 $\dfrac{1}{3}$ ：
$V_{\text{圆锥}} = \frac{1}{3} V_{\text{圆柱}} = \frac{1}{3} \times 30 = 10\text{ cm}^3$

Answer

$10\text{ cm}^3$

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