You have:
- The diameter of the cylinder is 12 inches and its height is 14 inches.
-The height of the cone is 6 inches.
So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone.
V1=πr²h
V1 is the volume of the cylinder.
r is the radius.
h is the height (h=14 inches)
The problem gives you the diameter, but you need the radius, so you have:
r=D/2
r=12 inches/2
r=6 inches
When you substitute the values into the formula, you obtain:
V1==πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³
The volume of the cone is:
V2=(πr²h)/3
V2 is the volume of the cone.
r is the radius (r=6 inches)
h is the height of the cone (h=6 inches).
Then, you have:
V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³
Therefore, the volume of the cake (Vt) is:
Vt=V1+V2
Vt=1582.56 inches³+226.08 inches³
Vt=1808.6 inches³