Volume - math word problems - page 71 of 125
Number of problems found: 2499
- Swimming pool
The swimming pool is shaped like a block and has dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool?
- Tributaries
We can fill the pool with two different tributaries. The first inflow would fill the pool in 18 hours and by both in 6 hours. How many hours would the pool fill with a second inflow?
- Pouring alcohol
100 liters of alcohol has 70% How many liters of water must be added to have 60% alcohol?
- The parabolic segment
The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis.
- A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubics per hour. How many minutes would it filter the entire pool?
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
- Increased 12821
Compared to last year, the milk price doubled in May this year and fell to half the increased price in October. Now, a liter of milk costs 50 cents. How many euros did 100 liters of milk last year?
- Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
- Tomatoes 12781
In the store, Janko bought 300g of ham, 5 rolls, 1.5kg of tomatoes, and 2l of milk. Unit prices are listed in the table - ham 6.50e/kg rolls 0.06e/pc tomatoes 3.4e/kg milk 0.95e/l. How much did Jeniček pay for the purchase?
- The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What
- Two cylinders
There are two cylinders, one with oil and one with an empty oil cylinder, with no fixed value assumed infinitely. We are pumping out the oil into an empty cylinder with a radius =1 cm, height=3 cm, rate of pumping oil is 9 cubic centimeters per sec. We ar
- The tax
The tax per gallon of gasoline in California is $0.477. If you fill your gasoline tank with 14.4 gallons in California, how much will you pay in taxes? Round to the nearest cent.
- Blueberries collecting
Marie collects 2 l of blueberries in 1 hour. She began collecting at 8.00 PM. Joe collects 1.5 l in 1 hour. Peter collects 1 l for 1 hour. They began to gather at 08.30 PM. Together, they collect 10 l. At what time will they all be collected?
- Potential 12431
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ?
- Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base is 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³.
- The hemisphere
The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees?
- A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume.
- Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block?
- Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone?
- Frustum of a cone
A reservoir contains 28.54 m³ of water when complete. The diameter of the upper base is 3.5 m, while the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone.
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