Sunday

February 1, 2015

February 1, 2015

Posted by **jj snoke** on Sunday, November 6, 2011 at 3:19pm.

- calculus -
**Steve**, Monday, November 7, 2011 at 4:55amv = 1/3 pi r^2 h

r^2 + h^2 = 25

v = 1/3 pi (25-h^2)h = 1/3 pi (25h - h^3)

a max/min occurs when dv/dh = 0:

25 - 3h^2 = 0

h = 5/√3

r = 5√2/√3

It's a max because v'' < 0

**Answer this Question**

**Related Questions**

math - a right triangle whose hypotenuse is h mm long is rotated about one of ...

calculus - A right triangle of hypotenuse L is rotated about one of its legs to ...

calculus - A right triangle of hypotenuse L is rotated about one of its legs to ...

calculus - Find the dimensions of the right circular cylinder of greatest volume...

calculus...plz ans urgent - Find the dimensions of the right circular cylinder ...

Math - Calculus I - Optimization Problem: Find the dimensions of the right ...

math - A right circular cone is inscribed inside a sphere. The right circular ...

Calculus - Find the radius, volume, and hieght of the right- circlar cylindar ...

ap Calculus - A right circular cone has a fixed slant height, s= 12 inches. ...

Math - If the hypotenuse of a right triangle is 13 and one of its legs is 5, ...