Posted by Charles on Saturday, August 6, 2011 at 7:18am.
What is the volume of a spherical dome with radius 5.5ft and height 3.5ft?

calculus  bobpursley, Saturday, August 6, 2011 at 8:36am
Hmmm. Exactly what is height? Is this a truncated sphere?

calculus  Reiny, Saturday, August 6, 2011 at 8:58am
The way I read this:
A spherical cap is cut off giving a truncated sphere as bobpursley suspected.
Look at
http://en.wikipedia.org/wiki/Spherical_cap
to see how we can find the volume of that cap.
Volume = (πh/6)(3a^2 + h^2) , where a is the radius of the circular base of the cap, and h is its height.
To find a, look at a crosssection, and
a^2 + 2^2 = 5.5^2
a^2 = 26.25
and our h = 3.5
volume of cap = (3.5π/6)(3(26.25) + 3.5^2)
volume of whole sphere = (4π/3)(5.5^3)
subtract the volume of the cap from the volume of the sphere.
I will let you do the rest of the buttonpushing.
Answer This Question
Related Questions
 Math  Find the volume of a triangular prim with the following dimensions round ...
 Math  Find the volume of a triangular prim with the following dimensions round ...
 geometry  Determine the volume of the figure. The base of the pyramid is the ...
 7th grade  if the median height is 5ft 2in how many students in mrs maloneys ...
 Math  A spherical balloon is inflated with helium at the rate of 100pi ft ^3/...
 collegemath  How high is a wall that cast A 7ft shadow at the same time a 5ft ...
 Science: Physics  A spherical metal dome of radius 15 cm is electrically ...
 calculus  The area A = πr2 of a circular puddle changes with the radius. ...
 Algebra  A rectangular swimming pool that is 10 ft wide by 16 ft long is ...
 physics  A particle of mass m is released from rest at the top of a spherical ...
More Related Questions