Question

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

Answer 1

The formula for the volume of the cone is:

`V=(1)/(3)\pi r^2h`
`\begin{gathered} 3V=\pi r^2h \\ (3V)/(\pi r^2)=h \end{gathered}`

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

`h=(3V)/(\pi r^2)=(3\cdot32)/(3.14\cdot4^2)=(96)/(50.24)=1.91`

The height of the cone is aprox 2 cm