Answer:
Option (3). 1571 in³
Step-by-step explanation:
Amount of cement required to fill the cement = Volume of the cone
Formula for the volume of the cone is
Volume = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the cone
h = height of the cone
Volume = [tex]\frac{1}{3}\pi (10^{2})(15)[/tex]
= [tex]\frac{1}{3}\pi (100)(15)[/tex]
= [tex]\frac{1500\pi }{3}[/tex]
= 500π
= 1570.8
≈ 1571 in³
Therefore, Option (3) is correct.