Sphere practice problems - page 4 of 12
Number of problems found: 226
- 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?
- Diameter 3962
The diameter of the atomic nucleus is 10 to -12cm. How many atoms would fit on a 1 mm line if they could be arranged close together?
- The prison ball
Calculate the density of the material from which the prison ball is made if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables, estimate what material the ball is made from.
- Centimeter 7821
What should a sweet tooth choose if he wants more chocolate: a package containing 200 pieces of solid chocolate balls with a diameter of 1 centimeter or a hollow ball with an outer diameter of 10 cm made of 5 mm thick chocolate?
- Sphere floating
Will a hollow iron ball float with an outer diameter of d1 = 20cm and an inside diameter of d2 = 19cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. )
- 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.
- 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.
- 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
- Temperature 61484
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 temp
- 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
- 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?
- 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
- 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
- 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.
- 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?
- 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?
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