SOLUTION: The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m.
Algebra.Com
Question 1053928: The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m.
-----------
Find the radius of the sphere, r
---
---
Step 1:
Solve for r
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Volume(Vs) of a sphere = (4/3) * pi * r^3, where r is the radius and pi is (22/7)
:
I assume that the problem's spherical segment has one base
:
V(ss) = (1/3) * pi * h^2 * (3R - h), where h is the height, R is the radius
:
904.78(Vs) = (4/3) * (22/7) * r^3
:
r^3 = 904.78 * 21 / 88
:
r = 5.9992 m
:
V(ss) = (1/3) * (22/7) * 4^2 * (3*5.9992-4) = 234.6264 approx 234.63
:
**********************************************
The volume of spherical segment is 234.63 cu m
**********************************************
:
RELATED QUESTIONS
A sphere segment has a volume of 904.78 cu.cm.If the radius of the sphere is 10cm, solve... (answered by math_helper)
A spherical segment has a volume of 904.78 . if the radius of the sphere is 10 , solve... (answered by Theo,ikleyn)
Find the volume of a spherical sector of a sphere whose surface area is 437π m^2, if (answered by Alex.33)
What is the diameter of a spherical object with a area volume of 10,000 cu... (answered by ankor@dixie-net.com)
The volume of a cylinder is 270 cu m (cubic meters). What is the volume of a cone with... (answered by rfer)
A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 cu. m.... (answered by greenestamps)
If a sphere has radius 5 m. what is the volume of the... (answered by Cromlix)
If a sphere has radius 5 m. what is the volume of the... (answered by rothauserc)
A spherical piece of steel is 1/8" in diameter.
1). Determine volume.
2).... (answered by ikleyn,math_tutor2020)