Question

Find the value of the variable in the figure . the diagram is not to scale .volume =36 pie x=

Answer 1

3

Step-by-step explanation:

The below formula can be used to find the volume of a cone;

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

where V = volume of the cone = 36 pi

r = radius = x

h = height of the cone = 12

Let's go ahead and replace r in our formula with x and make x the subject of the formula;

`\begin{gathered} 3V=\pi* x^2* h \\ x^2=(3V)/(\pi h) \\ x=\sqrt[]{(3V)/(\pi h)} \end{gathered}`

To determine the value of x, let's substitute the given values of V and h into the above equation and solve for x;

`x=\sqrt[]{(3*36\pi)/(\pi*12)}=\sqrt[]{3*3}=\sqrt[]{9}=3`