The area of a shape of circle problems - page 17 of 19
Number of problems found: 375
- Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism.
- Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn?
- Cylindrical 30331
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%.
- Cylindrical magnets
Calculate the magnetic field energy of a cylindrical coil with 400 turns, a length of 0.4 m, and a radius of 20 mm. A current of 3A passes through the coil. (µo = 4π 10-7 H/m)
- Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain?
- Cylinder 7744
What is the height of the cylinder if the volume is 8,478 cubic meters and the area of the base of the cylinder is 706.5 cm square?
- Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
- Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
- What is
What is the height of a cylinder whose surface size is 602.88 cm² and the area of its shell is 376.8 cm²?
- Calculate 24511
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³.
- Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter.
- 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?
- Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool?
- Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
- The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere.
- The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well?
- 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.
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³.
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
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Examples of area of plane shapes. Circle practice problems.