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A cylinder-shaped scoop has a base radius of 2 centimeters and a height of 5 centimeters. The scoop has a mass of 14.9 grams when empty. The scoop is completely filled with water. One cubic centimeter of water has a mass of one gram. What is the mass of the scoop of water in grams, including the mass of the scoop? Describe how you found your answer. Round to the nearest tenth.

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1 vote

Answer:

77.7 g

Explanation:

You want the mass of a cylindrical scoop of radius 2 cm and height 5 cm when it is filled with water at 1 g/cm³, and has an empty mass of 14.9 g.

Water

The mass of the water will be the product of its volume and its density. The volume is that of a cylinder with radius 2 cm and height 5 cm. That volume is given by the formula ...

V = πr²h = π(2 cm)²(5 cm) ≈ 62.83 cm³

The mass of the water is then ...

(62.83 cm³) × (1 g/cm³) = 62.83 g

Total mass

The total mass of the water-filled scoop is the sum of its empty mass and the mass of the water:

scoop + water = 14.9 g + 62.8 g = 77.7 g

The mass of the scoop and water is 77.7 grams.

A cylinder-shaped scoop has a base radius of 2 centimeters and a height of 5 centimeters-example-1
User Lulutho Mgwali
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