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The volume of the cone is 267.95 cubic mm. Find the height of the cone. Use 3.14 for π.A. 16 mmB. 8 mmC. 4 mmD. 2mm

The volume of the cone is 267.95 cubic mm. Find the height of the cone. Use 3.14 for-example-1
User Igal Tabachnik
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1 Answer

7 votes
7 votes

Step-by-step explanation

Given that the volume if the cone is 267.95 cubic mm and that the radius of the cone is 8mm. We can find the height of the come below.


\begin{gathered} volume=(1)/(3)\pi r^2h \\ 267.95=(1)/(3)*3.14*8^2* h \\ 267.95*3=3.14*64h \\ 200.96h=803.85 \\ h=(803.85)/(200.96) \\ h=4mm \end{gathered}

Answer: option C