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Find the volume of a right circular cone that has a height of 16 cm and a base with a diameter of 18 cm. Round your answer to the nearest tenth of acubic centimeter. Show your work.

User Singletoned
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1 Answer

13 votes
13 votes

Answer:

The volume of the cone is;


V=1357.2\text{ }cm^3

Step-by-step explanation:

Given that the cone has a height of 16 cm and base diameter of 18 cm;


\begin{gathered} h=16\text{ cm} \\ d=18\operatorname{cm} \\ \text{radius r = }(18)/(2) \\ r=9\text{ cm} \end{gathered}

Recall that the formula for the volume of a cone is;


V=(1)/(3)\pi r^2h

substituting the values of r and h;


\begin{gathered} V=(1)/(3)*\pi*9^2*16 \\ V=1,357.2\text{ }cm^3 \end{gathered}

Therefore, the volume of the cone is;


V=1357.2\text{ }cm^3

User Sahil Deliwala
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