Sphere + circle - practice problems
Number of problems found: 28
- 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? - Moon
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full Moon. Calculate the mean distance of the Moon from the Earth. - Average speed
What is the average speed you have to move around the world in 80 days? (Path along the equator, round to km/h). - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Shortest 81627
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - 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. - Horizon
The top of a lighthouse is 19 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Determine 10561
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. Determine its weight if the nickel density is 9000 kg/m³. - Equator 6020
The Equator. ..40075 km train. ..300m. How many trains would fit on the Equator? - Sphere cuts
At what distance from the center intersects the sphere with radius R = 91 plane if the cut area and area of the main sphere circle are in ratio 3/6? - Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel to latitude 50°. - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes. - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - 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 - One-quarter 46001
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
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