Geometry - math word problems - page 89 of 163
Number of problems found: 3251
- Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - Oceans
The Earth's surface is approximately 510,000,000 km² and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5, and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean? - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Pyramid roof
3/5 of the area of the roof-shaped regular tetrahedral pyramid with base edge 9 m and height of 6 m is already covered with roofing. How many square meters still need to be covered? - Diameter 132
The base diameter of a rotating cylinder is 2 m and its surface area is 34.54 m². Calculate the base radius of the given rotating cylinder, its height and volume. - Segment center coordinates
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Garden 3
A garden pool in the shape of a cylinder with a base diameter of 300 cm contains 25 hectolitres of water. How deep is it if the water reaches 10 cm below the rim of the pool? - Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Prism base volume
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high? - Pyramid height volume
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer). - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Cylinder height calculation
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³. - Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand. - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof? - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
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