Circle - practice for 13 year olds - page 10 of 29
Number of problems found: 563
- Pool filling
How many hours will a block-shaped pool measuring 24 m, 12 m, and 1.8 m be filled if it flows through a 9 cm diameter pipe at a speed of 2.5 m/s? - Point distance marking
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Iron density
Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number. - Filling Cylindrical Pool
The outdoor pool has a cylindrical shape with an inner diameter of 3.6 m and a depth of 1.2 m. a) how long will it take to fill if 2 liters of water flow per second? b) how many crowns will it cost to fill the pool? (find out the price of 1 m³ of water. ) - Average speed
At what average speed would you have to travel around the world in 80 days? (Assume a path along the equator; round to km/h.) - 3d printer
3D printing ABS filament with a diameter of 1.75 mm has a density of 1.04 g/cm³. Find the length of m = 5 kg spool filament. (how to calculate length) - Hydraulic press
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm? - Isosceles - isosceles
It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that the BCX triangle is an isosceles and triangle ABX is an isosceles with the base AB. - Cylinder radius grinding
The carpenter worked on a rotary cylinder with a base radius of 2.5 dm and a height of 2 dm. He reduced the radius by 1 cm by uniform grinding, and the height of the cylinder was preserved. Calculate the percentage by which the volume of the cylinder has - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) had a front-wheel diameter of up to 1.5 meters, while the rear wheel w - Diameter
If the endpoints of the diameter of a circle are A(10, -10) and B (9, -2), what is the circle's radius? - Complete construction
Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs. - Triangle hypotenuse circle
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Two tangents
The figure shows a circle k with centre S and radius 5 cm, and a point A which is 13 cm from centre S. From point A, two tangents p and q are drawn to circle k, with points of tangency P and Q. In addition, another tangent t is drawn to circle k, intersec - The circumference 3
The circumference of a cylindrical water tank is 62.8 m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank.
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