Ratio + volume - practice problems - page 8 of 9
Number of problems found: 168
- Axial section
The axial section of the cylinder has a diagonal 40 cm. The shell size and base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - Velocity ratio
Determine the ratio at which the fluid velocity in different parts of the pipeline (one piece has a diameter of 5 cm and the other has a diameter of 3 cm) when you know that every point of the liquid is the product of the area of the tube [S] and the flui - Bottles of juice
How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm?
- Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity you would - Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off?
- Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c has dimensions in the ratio of 7:8:10. If you know that the diagonal wall AC is 56 cm, and the angle between AC and space diagonal AG is 25 degrees. - Scale
The student drew the cylinder in scale 2:1. How many times is the volume of the cylinder smaller in reality? - Car range
Calculate the maximum range of cars, if you can spend 10 euros, the diesel price is 1.55 Eur/l, and car consumption is 3 l/100 km. - Balls
Ping pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Tanks
The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fell 5 cm? Wri
- Fertilizer
Mr. Gherkin uses for fertilization 10% solution of fertilizer. 5 liters of it still left. How much water must be added to the solution to make only the 7% solution? - Sea water
Seawater contains about 5% salt. How many dm³ of distilled water must we pour into 39 dm³ of seawater to get water with 1.6% salt? - Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
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