Practice problems of the volume - page 40 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2354
- The resistance
What is the resistance of an aluminum wire, 0.2 km long and 10 mm in diameter? - Hectoliters 39141
The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool? - Statistical survey
Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh - Temperature 38971
A zinc body has a volume of 20 dm³. What heat is needed to warm it from a temperature of 25 to 100 degrees Celsius? What is this body's heat capacity C (unit J/K)?
- Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution? - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether - Rotary cylinder
In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Cylindrical 38791
The cylindrical barrel is 1.2 m high, and the diameter of its base is 0.6 m. How many hectoliters of water will fit in the barrel? What is the smallest amount of sheet metal needed for its production? (we count both bases)
- Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Calculated 38721
The soup pot has the shape of a cylinder with a bottom diameter of 30 cm and a height of 36 cm. How many people is the soup enough if the pot is filled to ¾ height? It is calculated with 0.25 l of soup for one person. - Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm. - Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm. - How many 9
How much percent volume remains of a sphere if the diameter decrease 3×?
- Copper wire
What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm if the density of copper is 8.8 kg/dm³? - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, - Isosceles + prism
Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm's length of 3.7 cm - Homogeneous 38201
The homogeneous roller weighs 7.36 kg and has a volume of 8 dm³. Use the MFCH tables to select the fluids in which the specified body declining blue, it floats. - Gasoline price 2
During the COVID-19 pandemic, Marilou's Gas Station gives a new gasoline price scheme to help our drivers. On their purchase, the first 4 liters cost Php 120.00, while the succeeding 1 1/2 liters would cost Php 10.00 more than the cost of a liter. If John
Do you have homework that you need help solving? Ask a question, and we will try to solve it.