Question

An ice bucket is composed of a cylinder and a hemisphere, as shown. Crushed ice weighs 0.34 ounce per cubic inch. What is the approximate weight of the crushed ice in the ice bucket?​

Answer 1

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