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?

Respuesta :

Answer:

Option (a). 106 oz

Step-by-step 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 = [tex]\pi r^{2}h+\frac{2}{3}\pi r^{3}[/tex]

  = [tex]\pi r^{2}(h+\frac{2}{3}r)[/tex]

  = [tex]\pi (3)^2[9+\frac{2}{3}(3)][/tex]

  = 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.

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