Thursday

November 27, 2014

November 27, 2014

Posted by **MM** on Thursday, December 6, 2012 at 8:28pm.

- Calculus -
**Steve**, Thursday, December 6, 2012 at 10:28pmwith radius r and height h,

pi r^2 h + 2/3 pi r^3 = v

so,

h = 3(v - pi r^2)/(2pi r^3)

a = pi r^2 + 2pi r h + 2pi r^2

= 3pi r^2 + 2pi r h

= 3pi r^2 + 3(v - pi r^2)/r^2

= 3pi r^2 - 3pi + 3v/r^2

da/dr = 6pi r - 6v/r^3

dv/dr = 0 when r^4 = v/pi

a(∜(v/pi)) = 3pi√(v/pi) - 3pi + 3√(pi*v)

= 3√pi (2√v - 1)

as usual, double-check the arithmetic and the algebra. I'm pretty sure about the calculus.

- Calculus -
**MM**, Friday, December 7, 2012 at 9:38amthanks a ton.

**Answer this Question**

**Related Questions**

Calculus - A solid is formed by adjoining two hemispheres to the ends of a right...

calculus - 1. A solid is constructed so that it has a circular base of radius r ...

math - a figure on the left is the base of a right solid whose sides are 10 ...

math - matt used centimeter cubes to make a solid that had a volume of 5 cubic ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...

Physics - Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, ...

Algebra - The volume of a rectangular solid is 250 cubic centimeters. If its ...

algebra - a storage bin is shaped like a cylinder with a hemisphere shaped top. ...

calculus - This one is tough. "A ballon in the shape of a cylinder with ...

Calculus - solid is formed by rotating the region bounded by the curve y=e−...