Answer:
75 cubic centimeters
Step-by-step explanation:
Volume of a cone is the area of the base times a third of the height.
The base is a circle.
The formula for the area of a circle is [tex]\pi \cdot r^2[/tex].
We are given that we want to use [tex]3.14[/tex] for [tex]\pi[/tex] and
r=(diameter)/2=6/2=3 cm.
So the area of the base is [tex]3.14 \cdot 3^2=28.26[/tex].
Now the height of the cone is 8 cm.
A third of the height is 8/3 cm.
So we want to compute area of base times a third of the height.
Let's do that:
[tex]\frac{8}{3} \cdot 28.26[/tex]
75.36 cubic centimeters
To the nearest cubic centimeters this is 75
