Sphere practice problems - page 3 of 12
Formulas for a Sphere:1. Surface Area (A):
A = 4π r2
2. Volume (V):
V = 43π r3
Number of problems found: 231
- Acceleration and force
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm/s². Find the magnitude of the force. - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast? - Glass Paperweight Weight
The glass paperweight has the face of a sphere with a radius of 4 cm. Estimate and then calculate its weight. The density of glass is approximately 3800 kg/m³. - The ball
The ball has a radius of 2 m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Bronze ball weight
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - Sun density
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Soap bubble
A conductive soap bubble with a radius of r=2 cm and charged to a potential of φ= 10000 V will burst into a drop of water with a radius of r1= 0.05 cm. What is the potential φ1 of the drop? - Shot casting
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Atomic diameter
The diameter of the atomic nucleus is 10 to -12 cm. How many atoms would fit on a 1 mm line if they could be arranged close together? - Ball shot calculation
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³? - The prison ball
Calculate the density of the material from which the prison ball is made if you know its diameter is 15 cm and its weight is approximately 2.3 kg. With the help of mathematical-physicochemical tables, estimate what material the ball is made from. - Chocolate ball comparison
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 = 20 cm and an inside diameter of d2 = 19 cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. ) - Ball diameter
A men's shot put has a prescribed weight of 7,250 g and is made of iron. How would its diameter change if it were made of lead? The density of iron is 7.8 g/cm³ and the density of lead is 11.3 g/cm³. - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1 m 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 grav - 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 temp - 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? - Material consumption 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 integers.
- The spacecraft
The spacecraft spotted a radar device at an altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615 km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is consider - 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?
Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.
