Question

A cone has a diamete of 3 inches the cone hold 12 cubic inches of water to the nearet inch what is the height of the cone

Answer 1

Answer:

5 inches

Step-by-step explanation:

The volume of a cone formula is V = (1/3)(base)(height).  Thus, 3V =(base)(ht).

We want to calculate the height of the cone.  Divide both sides of

3V =(base)(ht) by (base), obtaining   3V/(base) = ht.

Substituting 12 in^3 for V, and 2.25pi for (base), we get:

12 in^3

------------ = 5.33 in, or, to the nearest inch, 5 inches.

2.25 pi

Note:  The diameter of the cone is 3 inches.  The area of the base is pi*r^2, so we must divide d = 3 inches by 2 to obtain the radius:  1.5 in.  Then r^2 = 2.25 in^2.