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