# Density + third power - practice problems

#### Number of problems found: 13

- Concrete column

The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. It should be lifted by crane to a height of 20m. What is the power of his engine if the lifting takes 2 minutes? - Wall thickness

The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³. - Orlík hydroelectric plant

The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m^{3}/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed pow - Seawater

Seawater has a density of 1025 kg/m^{3}, ice 920 kg/m³. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge. - Density 2

What is the density of a piece of driftwood with a mass of 25 grams and a volume is 30 cm to the 3rd power? And how do I figure it out? - Tower model

Tower height is 300 meters, weight 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result is a three-d - Granite cube

What is the weight in a kilogram granite cube with an edge of 0.5 m if 1dm³ of granite weight 2600 g? - Hollow sphere

The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m^{3} - Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Cube

The cube weighs 11 kg. How weight is a cube of the same material if its dimensions are 3-times smaller? - Sphere

The surface of the sphere is 12100 cm^{2}, and the weight is 136 kg. What is its density? - Pump

What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? - Hollow sphere

Calculate the weight of a hollow stříbrné sphere (density 10.5 g/cm^{3}) if the vnitřní diameter is 15 cm and wall thickness is 1 mm.

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