Answer:
Volume of Green Sand = [tex]400 \pi[/tex] cubic centimeters
Step-by-step explanation:
The image is shown below.
We need to find volume of cone and volume of cylinder.
The green sand space is:
Volume of Cylinder - Volume of Cone
Formulas:
Volume of Cylinder = [tex]\pi r^2 h[/tex]
Volume of Cone = [tex]\frac{1}{3}\pi r^2 h[/tex]
Given, r = 5 and h = 24 (in centimeters), we find the green sand volume:
Volume of Green Sand = Volume of Cylinder - Volume of Cone = [tex]\pi r^2 h - \frac{1}{3} \pi r^2 h = \frac{2}{3} \pi r^2 h = \frac{2}{3} \pi (5)^2 (24) = \frac{2}{3} \pi (25)(24) = 400 \pi[/tex]
Volume of Green Sand = [tex]400 \pi[/tex] cubic centimeters
