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: 228
- Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm. - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - Calculate 22263
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim. - Reservoir 17043
The reservoir is a sphere with a diameter of 12 m. If it is painted twice, how many kg of paint is needed to paint it, and one kilogram is enough to paint about 8m²? - 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. - 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? - Sphere growth
How many times does a volume of the sphere rise if priemer rises 10×?
- Volleyball 24471
The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it. - 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? - 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) - 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) - 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
- Approximately 27561
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - 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? - 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
- 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? - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - 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? - 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. - 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. )
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