Third power + sphere - practice problems
Number of problems found: 19
- Sphere volume formula
If V=4/3 π r3, find, the value of V when r = 7, the value of r when V=113 1/7
- 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.
- Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, the upper base 60 cm.
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?
- Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 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?
- Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
- Volume of ball
Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
- Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m3
- Chemical parison
The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
Three metal balls with volumes V1=71 cm³ V2=78 cm³ and V3=64 cm³ melted into one ball. Determine it's surface area.
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
- Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
- Sphere growth
How many times grow volume of sphere if diameter rises 10×?
- Sphere fall
How many percent fall volume of a sphere if diameter decreases 3×?
- Cube in ball
Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?
- Hollow sphere
Calculate the weight of a hollow stříbrné sphere (density 10.5 g/cm3) if the vnitřní diameter is 15 cm and wall thickness is 1 mm.
- Plasticine ball
Plasticine balls have radius r1=85 cm, r2=60 mm, r3=59 cm, r4=86 cm, r5=20 cm, r6=76 mm, r7=81 mm, r8=25 mm, r9=19 mm, r10=14 cm. For these balls
Third power - practice problems. Sphere practice problems.