Volume + comparing - practice problems
Number of problems found: 90
- A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - Drain and inlet
The reservoir is filled with inflow in 12 hours. It will drain through the drain in 9 hours. Can the tank overflow if we leave the inlet and outlet open at the same time? - Ketchup vs mustard
A 20-ounce bottle of ketchup costs $2.80. A 14-ounce bottle of mustard costs 2.38. Which item costs less per pound? How much less? - Steve 3
Steve is making breakfast. The recipes call for 7/8 cup of milk for grits and 3/4 cup for biscuits. He only has 2 cups of milk. Does he have enough to make his breakfast?
- Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio - Marcellus
Marcellus has two bottles of ketchup that are the same size. One bottle is 1/5 full, and the other bottle is 1/2 full. Can all the ketchup fit into one bottle without the ketchup overflowing? - Interpretation 83015
A cargo boat with a total weight of 4,500t sailed from the river to the sea. Calculate by how many tons it is possible to increase the weight of the cargo on the boat at sea so that the draft remains the same as in the river. The density of river water is - Dimensions 82810
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent? - Perpendicular 82488
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D)
- Powerful 82250
In 5 minutes, it pumps 1240 l of water with the pump. Can two equally powerful pumps pump 500 liters of water in 1 minute? - Container 81972
There are 45 liters of water in a 50-liter container. How many liters of water will it contain if we add another 10 liters of water to it? - Christmas 81912
Mom got a 50ml perfume for her birthday for 1,000 CZK. For Christmas, she received 100 ml of perfume for 1800 kc. How much is 1 ml of each perfume in CZK? Which one is cheaper? - Weighs 81870
The ring weighs 28g and has a volume of 2cm³ to find out if it is made of pure gold. - Cylinder-shaped 81766
The Novákov family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall?
- Dimensions 81608
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Taylor
Taylor filled eight 5 oz glasses with orange juice ⅔ full. Emeline filled five 9 oz glasses with orange juice ¾ full. Who used more juice? - What power 2
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? Comparing the power generated by the pump vs. the power generated by the motor, which is more efficient? Which pump or motor generates more pollution if, for every watt - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i
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