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

Option (a). 106 oz

Explanation:

Given question is incomplete without figure ; Find the figure attached.

Since ice bucket is composed of a cylinder and a hemisphere.

Total volume of the ice bucket = Volume of the cylindrical part + Volume of the hemisphere on the top.

V =
`\pi r^(2)h+(2)/(3)\pi r^(3)`

=
`\pi r^(2)(h+(2)/(3)r)`

=
`\pi (3)^2[9+(2)/(3)(3)]`

= 99π

= 311.02 inch³

Density of ice = 0.34 ounce per cubic inch

Weight of ice = 0.34×311.04

= 105.75

≈ 106 oz

Therefore, weight of the ice in the bucket is 106 oz.

Option (a) is the answer.