Tuesday

January 27, 2015

January 27, 2015

Posted by **Sarah** on Wednesday, November 28, 2012 at 5:24pm.

- Calculus -
**Steve**, Wednesday, November 28, 2012 at 5:48pma = 2pi r^2 + 2pi rh = 600pi

h = (600pi - 2pi r^2)/(2pi*r)

= 300/r - r

v = pi r^2 h

= pi r^2 (300/r - r)

= 300pi r - pi r^3

dv/dr = 300pi - 3pi r^2

dv/dr = 0 when r = 10

so, h = 20

max v = pi * 100 * 20 = 200pi

**Answer this Question**

**Related Questions**

calc - the volume of a cylindrical tin can with a top and a bottom is to be 16*...

Math 11 Surface area, Volume and Capacity - A cylindrical tin can has a radius ...

Calculus - a rectangular box of given volume is to be "a" times long as it is ...

Maths - a cylindrical tin with one end opened has diameter of 440mm and height ...

Math - A cylindrical tin can has a radius of 4.5cm and a height of 5 cm (a)What ...

calculus - right circular cylindrical tin cans are to be manufactured to ...

math - If the volume of a cylindrical block is equal to 800cm^3 prove that the ...

math - the volume of an cylindrical can with a radius r cm and height h cm is ...

geometry - I found the volume of six cubes to total 336 cubic inches. How do I ...

Calculus - Optimization - A parcel delivery service a package only of the ...