Volume - practice for 14 year olds - page 5 of 40
Number of problems found: 788
- Fuel volume
1/2 of a tank is filled with oil when 36 liters are removed, and the remaining oil fills 1/10 of the tank. What fraction of the total is the amount of oil removed? - The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - What power 2
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? Comparing the power generated by the pump vs. the power generated by the motor, which is more efficient? Which pump or motor generates more pollution if, for every watt - Surroundings 74114
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area. - Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation. - Identical 73194
Three identical pumps fill 50,400 liters of diesel into the tank in 7 hours. How much more (less) diesel will they pump if we add two more pumps, and they will all work for 4 hours? - Rocks 2
A garden center has one type of rock that sells for $6.50 per cubic yard and another type of rock that sells for $12.80 per cubic yard. They want to make 25.2 cubic yards of a mixture of rock that sells for $12.40/cubic yard. How much of each rock will th - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Cylinder 72094
The tank has the shape of a rotating cylinder with a base radius of 6 m reach. Water flows at a speed of 2 liters per second for 3 hours. To what height does the water in the tank? - Submerged 71144
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C - Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - Paragraphs 69164
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm?
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