Practice problems of the volume - page 38 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: 2353
- Willie
Willie collected 6 2/3 pails of water. How many big containers can she fill? Does each container contain 2 2/9 of a pail? - Mike built
Mike built a cylindrical water tank with a radius of about 1.8 m and a height of 2 meters. How many liters of water will it hold? - Size comparing
A store sells olive oil in three different sizes. Which size is the best buy, and what is its unit price? Size Price 17 oz $ 8.69 25 oz $11.79 101 oz $46.99 - Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5°C b) 10°C c) 15°C d) 20°C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) DN1
- Calculate 41881
The volume of the sphere is 803.84m³. Calculate its surface. - Fuel tank
Carlos has 4/5 of a tank of fuel in his car. He uses 1/10 of a tank per day. How many days will his fuel last? - Bathroom 4
Dolor puts 3 1/2 pails of water into a water container in the bathroom daily. Her daughter, Lei, uses 2 1/4 pails of water daily when taking a bath. If the water container had 5 5/8 pails of water at the start, how much water would be left in it after fiv - Honey
Ila collected the honey from 3 of her beehives. From the first hive, she collected 2/3 gallons of honey. The last two hives yielded 1/4 gallon each. After using some of the honey she collected for baking, Lila found that she only had 3/4 gallon of honey l - Patel
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20 cups from the third orange, 3/11 cups from the fourth orange, and 7/15 c
- I need
I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm³. What is the formula for this? - Lin has
Lin has a cake pan that has a length of 8/3 inches, a width of 15/4 inches, and a height of 3/2 inches. What is the volume of the cake pan? - Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g - Diameter 41221
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Quadrilateral 41061
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid.
- Intersection 40981
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - 80-kilogram 40741
The 80-kilogram man who caused the car accident had 2.5% blood alcohol. Determine how many grams of alcohol he had in his blood if the blood made up 8% of a person's weight. - The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir? - Surface 40621
The surface of the sphere is 535 m². What is its volume?
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Tip: Our volume units converter will help you convert volume units. See also more information on Wikipedia.