Equation + volume - math problems

Number of problems found: 137

  • Gas prices 2021
    gasprom According to the SPP price list in 2021, the price of natural gas together with its supply is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes o
  • Cost structure
    factory_butter You are currently trying to decide between two cost structures for your business: one that has a greater proportion of short-term fixed costs and another that is more heavily weighted to variable costs. Estimated revenue and cost data for each alternative
  • Tank B
    tanks Tank B has the same volume as Tank A. The volume of one section of Tank B is 4545 cubic feet. What is the volume, in cubic feet, of the other section of Tank B? Total volume of both tanks A+B is 15000 ft3. Enter your answer in the box.
  • The surface
    cylinder The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.
  • There
    watermixing There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water?
  • Grandfather
    boruvky Grandfather brought a full bucket of blueberries to the market and sold one-sixth of them in the morning. When he sold another 12 liters of blueberries in the afternoon, he had one sixth of a bucket of blueberries left. How many liters of blueberries are
  • The truncated
    truncated_cone The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
  • Truncated pyramid
    truncated_pyramid The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm2 greater than the upper base's content. Calculate the area of the upper base.
  • Petra
    watermixing Petra likes to bathe in a bathtub with a water temperature of 38 degrees. She turned on the hot water set at 70 degrees and left for a moment. Before she returned, 40 liters of water flowed into the tub. How much water with a temperature of 22 degrees mus
  • The block
    cuboid_3colors The block, the edges formed by three consecutive GP members, has a surface area of 112 cm2. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
  • Consider
    parabola2 Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge, in cm, and y is the volume of the prism, in cm3. Graph the function
  • The aluminum
    sphere_Nickel The aluminum object with a weight of 0.80 kg and a temperature of 250°C was placed in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only be
  • Alcohol solutions
    roztoky We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution?
  • The cylinder
    valec2 In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
  • Rotary cylinder
    valec In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
  • The bath
    watermixing Dad poured 50 liters of water at 60°C into the tub. How much must cold water be added at 10°C to obtain a bath that has a temperature of 40°C?
  • Hard cone problem
    kuzel The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone.
  • Consecutive members
    cuboid_3colors The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
  • The pool
    bazen The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
  • RC time constant
    capacitor You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material.

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