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A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and heightas the cylinder?A 396 cmB. 528 cmOC. 132 cmD. 88 cm

Respuesta :

[tex]\begin{gathered} \text{radius =}\frac{6\operatorname{cm}}{2}=3\operatorname{cm} \\ \text{height = 14cm } \\ V_{cone}=\frac{\pi r^2h}{3} \\ \pi\approx3.14 \\ V_{cone}=\frac{(3.14)\cdot(3cm)^2\cdot(14cm)}{3} \\ \\ V_{cone}=\frac{(3.14)\cdot(9cm^2)\cdot(14cm)}{3} \\ \\ V_{cone}=\frac{395.64\operatorname{cm}^3}{3} \\ \\ V_{cone}=131.88cm^3\approx132cm^3 \\ The\text{ volume of the cone is }132cm^3 \end{gathered}[/tex]

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