The water tank

The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m2?

Correct answer:

V =  33510.3216 l
m =  5.0265 kg

Step-by-step explanation:

r=2 m V1=43 π r3=43 3.1416 2333.5103 m3  V=V1 l=V1 1000  l=33.5103 1000  l=33510.322 l=33510.3216 l=3.351104 l
S=4π r2=4 3.1416 2250.2655 m2 h=10 m2/kg  m=S/h=50.2655/10=5.0265 kg

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you want to convert area units?
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Hemisphere - roof
    kupola The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner is used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint
  • Air mass
    airbaloon What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m3.
  • Canopy
    cone-roof Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?
  • Pipe
    1pipes How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color. 1 kg of color coverage is 6 m2.
  • Water reservoir
    cylinders What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length 8 m, if 1 m2 of sheet metal weighs 100 kg?
  • The body
    cuboid_3colors The body has dimensions of 2m, 2dm, and 10 cm. It weighs 28 kg. What is its density?
  • Iron sphere
    sphere_1 Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface and diameter of the sphere.
  • Sphere
    1sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
  • Wood
    timber Wood contains 12% water. 1 m3 of wood weighs 650 kg. How many liters of water it contains?
  • Water reservoir
    nadrz_9 The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans.
  • Leveling
    quattro Calculate how many 25 kg bags of leveling concrete must be purchased if we leveling room 15 m2 to the "height" 6 mm if consumtion is 1.5 kg per square meter and millimeter thickness.
  • Mike built
    watertank_1 Mike built a cylindrical water tank with a radius of about 1.8 m and height of 2 meters. How many liters of water will it hold?
  • Colour - billboard
    rovnobeznik_1 Shelftalker has the shape of a parallelogram. Its length is 4.9 m and the corresponding height is 3.5 meters. Calculate how much (kg) paint must purchase to redecoration if 1 kg cover 4 m2 of shelftalker surface.
  • Cu wire
    medeny-drat Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m3. Result round to one decimal place.
  • AL wire
    vaha2 What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic. Determine to the nearest gram.
  • Sand loading
    truck The truck with a load capacity of 7 tons has a storage area of 4.5 m and 2.1 m. The weight of 1 m3 of wet sand is 2,000 kg. How high can we load the sand so that the load capacity of the car is not exceeded?
  • Gas sphere
    sphere_tank The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?