# Volume + square - math problems

#### Number of problems found: 177

• Cuboid Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.
• Cubes One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
• Axial section The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
• Rotation The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Hole In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
• Cone Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane, if solids have the same volume.
• Pool If water flows into the pool by two inlets, fill the whole for 19 hours. The first inlet filled pool 5 hour longer than the second. How long pool take to fill with two inlets separately?
• Sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cube The sum of lengths of cube edges is 57 cm. What is its surface and volume?
• Gold wire From one gram of gold was pulled wire 2.1 km length. What is its diameter if the density of Au is ρ=19.5 g/cm3?
• Cone and cube About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?
• Sphere A2V The surface of the sphere is 241 mm2. What is its volume?
• Floating barrel Barrel (cylinder shape) floats on water, top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
• Aquarium Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes?
• Cu thief The thief stole 121 meters copper wire with a cross-section area of 103 mm2. Calculate how much money gets in the scrap redemption if redeemed copper for 4.6 Eur/kg? The density of copper is 8.96 t/m3.
• Sandpile Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if t

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