The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.
2 inches
3 inches
5 inches
9 inches

Respuesta :

The radius of cone is: 3 inches

Step-by-step explanation:

Given

Volume of cone = V = 141.3 cubic inches

Height = h = 15 inches

We will use the formula for volume of cone to find the radius of cone

The formula for volume of cone is:

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

Putting the value

[tex]141.3 = \frac{1}{3} * 3.14*r^2 * 15\\141.3 = 5*3.14*r^2\\141.3 = 15.7r^2\\r^2 = \frac{141.3}{15.7}\\r^2 = 9[/tex]

Taking square root on both sides

[tex]\sqrt{r^2} = \sqrt{9}\\r = 3[/tex]

The radius of cone is: 3 inches

Keywords: Volume, cone

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