Answer:
Explanation:
Given: d= 12 and h= 14
formula for the volume of a cone:
V= (1/3) · π · r² · h
V= volume
r= radius
h= height
to find the radius of the cone, we will use this formula r = 1/2 · d
r = 1/2 · 12
r = 6
Now that we know the value of the radius we can now plug it in in our formula.
V= (1/3) · π · 6² · 14
V= 1π · 6² · 14 / 3
V= 1π · 2²· 3² · 14 / 3
V= 2² · 14 · 3π
V= 2² · 14 · 3π
V= 2² · 42π
V= 4 · 42π
V= 168π
V=527.79
Hope this helps =D