Solid geometry, stereometry - page 80 of 121
Number of problems found: 2404
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Hexa pyramid
The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 2 m. Find the volume of the pyramid to be 2.5 m high. - Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times? - Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare? - Ice cream maker
Ice cream maker Eda has invented a new nice cone in the shape of a regular four-sided pyramid, in which he will sell his ice cream. The cone will have a side edge length of 5 cm and a wall height of 4 cm. In order to mass-produce it in the factory, they s - Millimeter 81160
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm - Dimensions 48161
A block with dimensions a = 15cm b = 5cm and a block height c = 8cm. Calculate the length of the wall diagonal in the base. - Determine 2684
Find the length of the edge of a cube if its surface is 1296.5 cm². - Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone. - Brick wall
A garden 70 m long and 48 m wide should surround by a wall 2.1 meters high and 30 cm thick. The bricklayer will build a wall on the garden ground. How many will we need if 300 bricks are required for approximately one m³? - Equilateral 82576
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm. - Calculate 82073 Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Calculate 25321
Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm. - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm. - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the box's edge and surface area. - Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm. - Concrete block
Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone.
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