Fill 'Er Up
Sink or Float
Size Matters
Boring Solids
100
The capacity of the swimming pool pictured below in liters.
Hint: 1 liter = 1 cubic decimeter
200,000 liters
100
At the pet shop, Jessica is having trouble finding a fish tank. Her mother said that she needs a fish tank that could hold at least 180 gallons. Which tank should Jessica get?
Tank A
100
The edges of three metal cubes whose edges are in the ratio 3:4:5 which are melted and converted into a single cube whose diagonal is 12√3 cm.
6 cm, 8 cm and 10 cm
100
Volume of:
222.83 m3
200
The capacity of a spherical glass vessel which has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm.
346.67 cm3
200
The rate in gallons per hour of a water tower which is being filled at 750 cubic feet per minute.
335,820.9 gallons/hour
200
The lateral areas of two similar paint cans are 1019 cm2 and 425 cm2. The volume of the larger can, rounded to the nearest whole number, if the volume of the smaller can is 1157 cm3.
4295 cm3
200
Volume of:
169.65 cm3
300
The gas tank below is 20% full. The cost to fill the tank given the current price of gasoline is $3.89/gal.
Hint: 1 cubic foot = 7.48 gallons
$46.68
300
The number of hours to fill a circular pool of 20 feet in diameter and 52 inches deep if the flow rate is 12 gallons per minute.
Hint: 1 cubic foot = 7.48 gallons
14.1 hours
300
The ratio of volumes of two cones whose heights are in the ratio of 1:3 and whose radii in the ratio of 2:1.
4/3
300
Volume of:
17,242.04 cm3
400
A cone-shaped paper cup with a radius of 5 cm and a height of 12 cm is completely filled with apple juice. The juice is then poured into a cylinder-shaped glass with a radius of 4 cm. Find the minimum height of the second glass so that all of the juice can be contained without spilling.
6.25 cm
400
A canal is 300 cm wide and 120 cm deep. The water in the canal is flowing at a speed of 20 km/h. How much area, in hectares, will it irrigate in 20 minutes if 8 cm of standing water is desired?
Hint: 1 hectare = 10,000 square meter
30 hectares
400
The volume of the remaining portion of the cylinder where two solid cones A and B are placed in a cylindrical tube, as shown in the figure below.
"126π = 395.84" cm3
400
Amount of silver used to produce one trophy when every part of the trophy shown is solid and made out of silver.
120.13 in3