SOLUTION: SOLID MENSURATION:the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radi
Algebra.Com
Question 1042848: SOLID MENSURATION:the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radius of the sphere
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radius of the sphere
----------
If by zone you mean a spherical cap, its area is
2pi*r*h = 8pi*r
----
Area of the lune = 2r^2*(12/180) = 2r^2/15
---
8pi*r = 2r^2/15
4pi = r/15
r = 60pi cm
RELATED QUESTIONS
SOLID MENSURATION: the area of a lune is 4π sq m and the radius of the sphere is 3... (answered by ikleyn)
Find the area and volume of a lune whose angle is 45 degrees drawn on a sphere whose... (answered by ikleyn)
The area of a zone is 50.265 sq. cm. if the altitude of the zone is 2 cm, solve the... (answered by math_tutor2020)
The area of a zone is 50.265 sq.cm. If the altitude of the zone is 2 cm, solve the... (answered by MathLover1)
4. Calculate the area of a parallelogram whose base is 17,9 cm and whose
altitude is... (answered by mananth)
The altitude of a zone is 2 cm and the radius of the sphere is 9 cm. Find the volume of... (answered by CPhill)
The radius of a sphere is 21 cm. Find the volume of a spherical wedge whose lune base... (answered by ikleyn)
The ratio of the altitude of a zone to the diameter of the sphere on which it is 1:5. The (answered by MathLover1,ikleyn)
the ratio of the altitude of a zone to the diameter of the sphere on which it is 1:5. the (answered by MathLover1,ikleyn)