Answer:
133.7π cm^3 or approximately 418.77430072 cm^3.
Step-by-step explanation:
For the cylinder half, use the formula: π*r^2*h, or pi times radius squared times height.
Since the diameter is 8, which means the radius is 4, and the height is 6, the volume of the cylinder would be 96π or 301.59289474...
For the cone on top, use the formula 1/3 (π*r^2*h), or one third pi times radius squared times height. Don't forget to calcuate the part in parentheses before dividing it by three.
Because the overall height was 13, you can subtract the 6 from the cylinder to get the cone's height. It has a height of 7 and a radius of 4 just like the cylinder. The volume of the cone is 112π/3 or 37.3π.
Now add both volumes together to get 133.7π cm^3 or approximately 418.77430072 cm^3.
