Friday

October 31, 2014

October 31, 2014

Posted by **Charles** on Saturday, August 6, 2011 at 7:18am.

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

- calculus -
**Reiny**, Saturday, August 6, 2011 at 8:58amThe 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 cross-section, 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 button-pushing.

**Answer this Question**

**Related Questions**

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 ...

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 ...

Calculus - (It's a related rate question) A man 6ft tall walks away from a lamp ...

Physics(IMPORTANT) - A small object of mass m= 90 kg slides down a spherical ...

Intermediate Algebra - Find the circumference of a circle with the radius of 5ft...