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: 230
- Calculate 8881
A solid wooden ball made of beech wood weighs 800 g. Calculate its diameter if the wood density is pi = 750 kg/m3 - Density 3961
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) - Diameter 46661
The granite ball has a diameter of 80 cm. The mass of 1m³ of granite is 2900 kg. What is the mass of the ball? - Diameters 15683
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? - Diameter 41221
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 - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm? - 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? - 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? - Approximately 6361
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 volume 6 The volume of a sphere is given by the formula 4/3 πr³ (or 4/3 *pi *r³). The value of pi is approximately equal to 3.14. What is the volume of a sphere whose radius is 4 cm? (Round of the answer to the nearest hundredths. Type the value without the unit)
- 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. ) - 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 - 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. - 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 - 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. - 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? - 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
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