# Solid geometry, stereometry - last page

Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.

#### Number of problems found: 2318

- Calculate 32281

The rotating cone has a base radius r = 226mm, and the deviation of the side from the base plane is 56 °. Calculate the height of the cone. - Big Earth

What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km. - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - ----------------- 4850

v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =?

- Tropical, mild and arctic

How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Cube - angles

Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base. - Felix

Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Cylinder horizontally

The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Regular quadrangular pyramid

How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%.

- Earth's circumference

Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Determine 4876

The rotating cone has a height of 72 cm and an angle at the top of 72 °. Determine the volume of the sphere. - Angle of the body diagonals

Using the vector dot product calculate the angle of the body diagonals of the cube. - Cone side

Calculate the volume and area of the cone whose height is 10 cm, and the axial section of the cone has an angle of 30 degrees between height and the cone side.

- Pyramid - angle

Calculate the regular quadrangular pyramid's surface whose base edge measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Sphere in cone

A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Forces

In point, G acts three orthogonal forces: F_{1}= 16 N, F_{2}= 7 N, and F_{3}= 6 N. Determine the resultant of F and the angles between F and forces F_{1}, F_{2}, and F_{3}. - Rotation of the Earth

Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km.

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