Answer:
radius is 3.38cm
Step-by-step explanation:
Note: the volume of a cone is given as
[tex]V= 1/3 \pi r^2 h[/tex]
Step one:
Given Information
volume= 30cm^3
height= 2.5cm
Required
The radius of the cone
Step two:
substituting our data into the expression for the volume of a cone we can then solve for the radius r
[tex]30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\[/tex]
divide both sides by 2.62
[tex]30/2.62= r^2\\\\11.45= r^2\\\\r=\sqrt{11.45} \\\\r=3.38cm[/tex]
