A plane vs. sphere
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.
Correct answer:

Tips for related online calculators
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem
Related math problems and questions:
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
- Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm.
- Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm?
- Calculate 24881
Calculate a sphere's volume and surface area with a radius of 23dm.
- 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?
- Calculate 2577
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm.
- Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose center is 3 cm from the chord.