Division + sphere - practice problems
Number of problems found: 9
- 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
- Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases 2 ×?
- Clay balls
How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?
Of the three cannonballs with a diameter of 16 cm, which landed in the castle courtyard during the battle, the castle blacksmith cast balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith c
- The cylindrical container
The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting how many balls for the first time does water flow over t
- Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere.
- Inscribed sphere
How many percent of the cube volume takes the sphere inscribed into it?
- Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube.
Division practice problems. Sphere practice problems.