# Pythagorean theorem + circle - practice problems

#### Number of problems found: 151

- Axial section

The axial section of the cylinder has a diagonal 31 cm long, and we know that the area of the side and the base area is in ratio 3:2. Calculate the height and radius of the cylinder base. - Metal balls

Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - 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. - The Indian tent

The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - Elevation

What must be the elevation of an observer in order that he may be able to see an object on the earth 536 km away? Assume the earth to be a smooth sphere with radius 6378.1 km. - Slant height

The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone. - Horizon

The top of a lighthouse is 19 m above the sea. How far away is an object which is just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Inscribed circle

A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Cut and cone

Calculate the volume of the rotation cone which lateral surface is circle arc with radius 15 cm and central angle 63 degrees. - Spherical cap 4

What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula. - Sphere cuts

At what distance from the center intersects sphere with radius R = 91 plane, if the cut area and area of the main sphere circle is in ratio 3/6.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - practice problems. Circle practice problems.