# Unit conversion - high school - math problems

#### Number of problems found: 129

• Cylinder - area The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m3.
• Map Forest has an area of ​​36 ha. How much area is occupied by forest on the map at scale 1:500?
• Right angled triangle 3 Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.
• Diver Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
• Water On the lawn which has area 914 m2 rained 3 mm of water. How many liters of water rained?
• Pyramid a+h Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.
• The hemisphere The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees?
• Car At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
• Harmonic oscillator Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.
• Gold wire From one gram of gold was pulled wire 2.1 km length. What is it diameter if density of Au is ρ=19.5 g/cm3?
• Friction coefficient What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07
• Resistance A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate what voltage is between the terminals of the resistor.
• Temperature calculus Calculate the percentage of temperature increase if changed from 18°C to 33°C?
• Copper wire What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm3?
• Pool How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m2? Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
• Rotating cone Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
• Newtonmeters The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt?
• Circle arc Calculate the area of the circular arc in m2 where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places.
• Sphere slices Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.

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