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2. (08.01 MC)A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)15 in 320 in 325 in 330 in 3

User Niko Fohr
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1 Answer

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We must first assume that the base of the cone and the cylinder hvae tha same base shape and size.

The volumen of a cone is equal to one third of the volumen of the cylinder, whose base and height are equal those of the cone:

Therefore:


V_{\text{cone}}=(1)/(3)V_(cylinder)

replacing:


\begin{gathered} 5=(1)/(3)V_(cylinder) \\ V_(cylinder)=5\cdot3 \\ V_(cylinder)=15 \end{gathered}

The answer is 15 in^3

User Sandeep Dinesh
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