Inequalities and Rates Quiz

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour. Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

• 1,060 + 35x > 480x

• 1,060 – 35x > 480x

• 1,060 – 35x < 480x

• 1,060 + 35x < 480x

A marble is in the shape of a sphere with a diameter of 13 millimeters. Which measurement is closest to the volume of the marble in cubic millimeters?

• 1,150 mm³

• 863 mm³

• 6,902 mm³

• 9,203 mm³

A cone has a radius of 12 centimeters and a height of 18 centimeters. What is the volume of the cone in cubic centimeters?

• 2, 592π cm³

• 144π cm³

• 864π cm³

• 1, 296π cm³

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere. Which measurement is closest to the volume of the figure in cubic centimeters?

• 141.37 cm³

• 197.92 cm³

• 259.47 cm³

• 311.02 cm³

The diagram shows a cone and its dimensions. Which measurement is closest to the volume of the cone in cubic centimeters?

• 314.2 cm³

• 340.3 cm³

• 754.0 cm³

• 942.5 cm³