Practice problems of the volume - page 27 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: 2351
- Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0cm is submerged in the cone. Find the volume of water below the sphere. - Block-shaped 60983
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built? - Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage? - Kindergarten 60933
Each of the 60 kindergarten children drank 1.5 liters of milk on Monday morning and 1.8 liters of milk in the afternoon. How many liters of milk did all the children of this kindergarten drink on Monday?
- Hydrogen 60813
One liter of air weighs 1,299 g, and one liter of hydrogen 0.089 8 g. How many times is hydrogen lighter? Round the result to units. - Following 60793
I want to turn to help with the following example. How do I reach an 8% solution? I need to mix 3.5% milk with 33% cream. Thank you for being so helpful. - Faucets
A large tank is partially filled with a solution. The tank has a faucet that allows the solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 19 4/5 liters per m - Parallelogram 60483
The area of the parallelogram is 10.24 m2, and its side is 25.6 m. Find the height to this side. - Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Corresponding 60311
The drink was mixed from one hundred percent juice and water in a ratio of 1.5 liters of juice to 2.5 liters of water. Calculate how many liters of this drink will be created by mixing 1 liter of water and juice in the corresponding ratio. Calculate how m - The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume. - Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter.
- An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter. - Cylinder S,V
What is the volume and surface area of a cylinder whose base has a diameter of 3.15 cm and a height of 25 cm? - Half of the recipe
A recipe for a pancake needs 3 1/4 cups of flour. How much flour is needed to make half of the recipe? - Janna
Janna takes her medicine three times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time? - Science liquids
Each group is given 11/8 liters of purple liquid for a science experiment. How many liters are needed for the three groups?
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