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What is the exact volume of the figure?5 om12 cm(The figure is not to scale.)cm3V=(Type an exact answer in terms of A.)
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What is the exact volume of the figure?5 om12 cm(The figure is not to scale.)cm3V=(Type an exact answer in terms of A.)

What is the exact volume of the figure?5 om12 cm(The figure is not to scale.)cm3V-example-1
User Duly Kinsky
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1 Answer

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13 votes

Step-by-step explanation

The volume of a cone is one third the area of the base multiplied by the height of the cone:


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

This cone has a radius of 5cm and a height of 12cm. The volume is


\begin{gathered} V=(1)/(3)\pi(5\operatorname{cm})^2(12\operatorname{cm}) \\ V=(1)/(3)\cdot\pi\cdot5^2\cdot12\cdot cm^(2)cm \\ V=\pi\cdot(1)/(3)\cdot25\cdot12\operatorname{cm}^(3) \\ V=\pi\cdot(300)/(3)cm^(3) \end{gathered}

Answer

The volume of the figure is:


V=100\pi cm^(3)

User Jacek Furmankiewicz
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