Expression of a variable from the formula + sphere - practice problems
Number of problems found: 72
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Calculate 82808
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg. - Spherical 81527
Sketch a spherical layer formed from a sphere with a radius of r= 8.5cm, given: v=1.5cm, r1=7.7cm, r2=6.8cm. What is its volume? - Calculate 81034
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm.
- Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Decimetres 72974
What is the diameter of a 1m³ sphere? Write in decimetres - Calculate 69244
The surface of the sphere is 624 cm². Calculate its radius. - 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 - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³
- Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - One-quarter 46001
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - Calculate 41881
The volume of the sphere is 803.84m³. Calculate its surface.
- Intersection 40981
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Surface 40621
The surface of the sphere is 535 m². What is its volume? - Theoretically 35321
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere? - Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume of the segment and the surface of the segment?
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