Sphere Problems

Number of problems found: 212

Part-timers
Six part-timers would take seven hours to pick strawberries. How long would this work take if two more temporary workers were added after three hours?
Feed to hay
How many tons of water do we have to dehydrate from 8 tons of feed, if the original moisture is 54 percent, to get hay with a moisture content of 15 percent? Round to two decimal places.
Deadline
Five equally skilled masons built half the wall in 14 days. In order to meet the planned deadline, the remaining part must be built in 6 days. How many more masons need to be allocated for construction?
The volleyball ball
The volleyball ball can have a circumference after inflation of at least 650 max 750 mm. What volume of air can this ball hold, if its circumference is the average of the minimum and maximum inflation of the ball.
Surveyors
Surveyors mark 4 points on the surface of the globe so that their distances are the same. What is their distance from each other?
The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
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 uni
Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
Three
Three pavers will pave the sidewalk in 4 days. How long does it take for two tiles to pave the same sidewalk?
A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total weigh of water to the nearest pound in the tank, if water weighs 62.5 pounds per cubic foot?
Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. In order not to attract attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal?
The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a fully blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a heigh
The granite ball
What is the weight of a granite ball with a radius of 60 cm, if 1 m³ of granite weighs 2.7 tons?
Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g
The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
A spherical segment
A spherical section whose axial section has an angle of j = 120° in the center of the sphere is part of a sphere with a radius r = 10 cm. Calculate the cut surface.
How many 9
How many percent volume remain of a sphere if diameter decrease 3×?
Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km?
Mushroom risotto
630g of rice is needed to prepare mushroom risotto for four people. How many boxes of 500g rice do you have to buy to prepare risotto for 17 people?
Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.