# Pythagorean theorem + volume - math problems

#### Number of problems found: 155

• Volume of the cone Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
• The tetrahedron Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm. What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
• Cube in sphere The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball?
• Pyramid 4sides Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long and the height of the pyramid is 7 cm.
• Prism Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.
• Regular hexagonal prism Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long.
• Axial section Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
• Surface of the cone Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
• Pyramid a+h Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
• Block or cuboid The wall diagonals of the block have sizes of √29cm, √34cm, √13cm. Calculate the surface and volume of the block.
• Hexagonal pyramid The base of the pyramid is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
• The cone - S,V Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• Triangular pyramid Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm.
• 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?
• The pyramid 4s The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of length 13 dm. Calculate the surface area and volume of this pyramid.
• Průměr kužele Vypočtěte povrch a objem rotačního kužele jehož průměr je 60mm a délka strany 3.4 cm.
• Surface and volume Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
• Body diagonal Calculate the volume and surface of the cube if the diagonal body measures ten dm.
• Hexa prism Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.

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Tip: Our volume units converter will help you with the conversion of volume units. Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Volume - math problems.