Sphere + area of a shape - practice problems
Number of problems found: 39
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Reservoir 17043
The reservoir has the shape of a sphere with a diameter of 12 m. How many kg of paint is needed to paint a reservoir if it is painted twice and one kilogram is enough to paint about 8m²? - The water tank
The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank if we paint with 1 kg of paint 10 m²? - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters?
- Decorations 81510
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m² - Kilograms 7828
The gas tank has the shape of a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? How many kilograms of paint are needed to paint a gas tank if 1 kg of paint is enough to paint about 6 square meters? - Reservoir 43821
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hl of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - 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.
- Earth's surface
The greater part of the Earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land? - Calculate 69244
The surface of the sphere is 624 cm². Calculate its radius. - Sphere radius
The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm. - Calculate 73534
The sphere has a diameter of 70 cm. Calculate its surface area and volume. - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface?
- Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area. - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - Inscribed 81949
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Equilateral 81222
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
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