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Write the formula for the volume of a cone V = jar2h in terms of h to find the height h of a cone with volume V = 327 cmand radius r = 4 cm. Height: cm

Write The Formula For The Volume Of A Cone V Jar2h In Terms Of H To Find The Height H Of A Cone With Volume V 327 Cmand Radius R 4 Cm Height Cm class=

Sagot :

The formula for the volume of the cone is:

[tex]V=\frac{1}{3}\pi r^2h[/tex][tex]\begin{gathered} 3V=\pi r^2h \\ \frac{3V}{\pi r^2}=h \end{gathered}[/tex]

Now that the formula was rewriten in terms of h, you can proceed to calculate the heigth of the cone:

V=32 cm³

r= 4cm

π=3.14

[tex]h=\frac{3V}{\pi r^2}=\frac{3\cdot32}{3.14\cdot4^2}=\frac{96}{50.24}=1.91[/tex]

The height of the cone is aprox 2 cm

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