Saturday

April 19, 2014

April 19, 2014

Posted by **rolan** on Monday, August 13, 2012 at 12:32pm.

my answer :

R = radius of bigger cone = 6 ft

r = radius of smaller cone…?

H = height of bigger cone = 12 ft

h = height of smaller cone?

r/R = H-h/H

r/6 = 12-h/12

r = 12-h/2

V = 1/3 r^2h

= 1/3 (12-h/2)^2 h

= 1/3 (144-h^2/4) h

Please help me to complete this assignment…

- math -
**Steve**, Monday, August 13, 2012 at 2:48pmYou are ok up to your last line:

[(12-h)/2]^2 = (144-24h+h^2)/4

so,

v = pi/12 (144h-24h^2+h^3))

dv/dh = pi/12(144-48h+3h^2)

dv/dh=0 when h=4,12

Naturally, v=0 when h=12, so

v(4)=64pi/3

**Related Questions**

calculus - Given a right circular cone, you put an upside-down cone inside it so...

Calculus - Given a right circular cone, you put an upside-down cone inside it so...

geometry math - There is an upside-down cone that is 12m high and has a circular...

maths - Two spheres of radius 6 cm and 4cm are inscribed in a right circular ...

Math - A right circular cylinder with a height of 20 cm and a right circular ...

Geometry - One right circular cone is set inside a larger circular cone. The ...

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 ...

math - Consider the right circular cone shown. if the radius of the circular ...

math - Consider the right circular cone shown. If the radius of the circular ...