Solid geometry, stereometry - page 70 of 121
Number of problems found: 2402
- The pot
The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth. - Dimensions 81850
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block. - Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Calculate 6635
Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm - Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - Cuboid surface
Determine the surface area of the cuboid if its volume is 52.8 cm cubic and the length of the two edges are 2 cm and 6 cm.
- Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with sides a = 55 cm, c = 33 cm, side b = 33 cm, height of the trapezoid va = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick has a v - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Base side
In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =? - Quadrilateral prism
The surface of the regular quadrilateral prism is 8800 cm2, and the base edge is 20 cm long. Calculate the volume of the prism - Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut. - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Slant height
Find the cone's volume. The cone's slant height is 5cm, and the radius of its base is 3cm. - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
- Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly? - Fire tank
How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water? - Mystery of stereometrie
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank. - One-quarter 46001
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm.
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