Acone 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

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.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.