Body volume - 9th grade (14y) - examples
- Cylinder - h
Cylinder volume is 129 cm3. Base radius is 3 cm. Calculate the height of the cylinder.
The swimming pool is 6 m wide and 14 m long and 185 cm deep. How many hectoliters of water is in it, if the water is 9 cm below its upper edge.
- Transforming cuboid
Cuboid with dimensions 12 cm, 20 and 8 cm is converted into a cube with the same volume. What is its edge length?
Cube, which consists of 27 small cubes with edge 3 dm has volume:
From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
- Sphere growth
How many times grow volume of sphere if radius rises 3×?
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm2?
- Spherical cap
From the sphere of radius 12 was truncated spherical cap. Its height is 4. What part of the volume is spherical cap from whole sphere?
- Cylinder - A&V
The cylinder has a volume 253. The base has a radius 5. What is the area of surface of the cylinder?
- Spherical segment
Spherical segment with height h=8 has a volume V=294. Calculate the radius of the sphere of which is cut this segment.
- Sugar - cuboid
Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet i
Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 17, b = 22 and height is v = 36.
The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
- Sand pile
Auto sprinkled with sand to approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the circumference of the base and the length of both sides of the cone (over the top). What is the volume of the sand c
On the lawn which has area 243 m2 rained 5 mm of water. How many liters of water rained?
In the center of the cube with edge 15 cm we will drill cylinder shape hole. Volume of the hole must be 28% of the cube. What drill diameter should be chosen?
- Water tank
Water tank shape cuboid has a width of 3.3 m and length twice larger. How high will reach water if water flow into 15 liters of water per second during 23 minutes?
- Water tank 2
Water tank cuboid is 12 meters long and 6.5 meters wide and 1.2 meters high. How many hectoliters are in the tank when it is filled to 71%?
Fire tank has cuboid shape with a rectangular floor measuring 11 m × 14.3 m. Water depth is 1.3 m. Water was pumped from the tank into barrels with a capacity of 3.9 hl. How many barrels were used, if the water level in the tank fallen 3 cm? Wri
- Cube corners
From cube of edge 8 cm cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will have this body?