Circle + volume - practice problems
Number of problems found: 140
- Geometric Solid
A concrete pipe is 1.0 m long. Its inside and outside diameters are 60 cm and 75 cm, respectively. What is the volume of the concrete (cubic meters) needed to make 25 pcs of pipe? - Circumference 65134
Circle K has a radius of 130 mm, and circle L has a diameter of 50 mm. By how many millimeters is the circumference of circle K greater than the circumference of circle L? Round the result to a whole number. Use the value π= 3.14 in the calculations. - Calculated 4765
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23dm - Difference 66354
A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle. - The star
Find the area of the shaded part of the square with a side of 22 cm. - Circumference 5651
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller - What is bigger?
Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm? - Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Percentage 81914
The carpenter worked on a rotary cylinder with a base radius of 2.5 dm and a height of 2 dm. He reduced the radius by 1 cm by uniform grinding, and the height of the cylinder was preserved. Calculate the percentage by which the volume of the cylinder has - Perimeter 30751
The pile of sand dumped from the car has the shape of a cone with a height of 1.4 m and a perimeter of 7.98 m. How many m³ of sand is there for the buyer if the sand density is 1,750 kg/m³? - Cylinder 5123
The well has the shape of a cylinder with a base diameter of 1.2 m. From the surface to the surface, it is 4 m, and the water depth is 3.5 m. How many m³ of soil had to be dug when digging the well? How much is water (in m3) in the well? - Top-open tank
The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m3, and the radii of the bases are 4 m and 3 m. Find the depth of the tank. - Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - Lid
What is the weight of the concrete cover (lid) to round shape well with a diameter 1.8 m if the thickness of the cover is 11 cm? 1 m³ of concrete weighs 2190 kg. - Cylinder 6379
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder? - Cylindrical 19773
When we pour 3 l of water into a cylindrical tin can, the water rises to 20 cm. Calculate the average can. - Cylinder-shaped 28531
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Circumference 15653
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long.
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