Sphere practice problems - page 4 of 12
Number of problems found: 228
- Air bubble
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius of r1 = 1 cm at a temperature of t1 = 4°C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a tempe - Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest total. - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Prescribed 4579
The racing ball for men has a prescribed weight of 7250g. It is made of iron. How does its diameter change if we make it from lead? The density of iron is 7.8 g / cm cubic, and the density of lead is 11.3 t / m cubic. - The spacecraft
The spacecraft spotted a radar device at an altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considere - 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? - Hectoliters - reservoir 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?
- Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - 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. - Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km. - Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - 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 - 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). - Reservoir 43821
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (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?
- Kilograms 7828
The gas tank is a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? If 1 kg of paint is enough to paint about 6 square meters, how many kilograms of paint are needed to paint a gas tank? - 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? - 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? - 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. - Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³.
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