Question 200513
The altitude 'h' of a cone varies directly as its volume and inversely as the
 square of the radius of its base. If a cone with an altitude of 32 centimeters
 and a radius of the base is 4 centimeters and has a volume of 512pi/3 cubic
 centimeters, find the altitude of a cone with a volume of 6pi cubic centimeters
 and the radius of the base is 3 centimeters
:
"the altitude 'h' of a cone varies directly as its volume and inversely as the square of the radius of its base." We can write this as:
h = {{{v/r^2}}}
:
"find the altitude of a cone with a volume of 6pi cubic centimeters and the
 radius of the base is 3 centimeters"
h = {{{(6pi)/3^2}}}
h = {{{(18.85)/9}}}
h = 2.09 cm is the height