Answer:
C. 86.47oz
Step-by-step explanation:
From the diagram,
Mass = 0.34oz per inch
Diameter of the solid = 6
Radius = d / 2 = 3in
Height of the solid = 9in
Since the solid consist of hemisphere and a cylinder, we'll both find the volume of each and sum it up to get the volume of the total solid.
Volume of a hemisphere = 4/3πr³
Volume of a cylinder = πr²h
π = 3.14
Volume of the hemisphere = 4/3 * 3.14 * 3²
Volume of the hemisphere = 37.68in³
Volume of the cylinder = 3.14 * 3² * 9
Volume of the cylinder = 254.34in³
Total volume of the solid = 254.34 + 37.68 = 292.02in³
But assuming the ice is only kept in the cylindrical part of the bucket, so to find the weight of the ice in the bucket based on the space it occupies,
We'll multiply the weight per inch with the volume of the cylinder
0.34 * 254.34in = 86.4756oz
