Algebra question help

Question

A cone has volume V=⅓πr²h, where r is the radius of the cone's base and h is the height of the cone. Find the height in centimeters of a cone with volume 96πcm3 and radius 6 centimeters.

 

Note π = pi obviously, looks kind of like an "n" on this site's formatting though. 

Answer 1

Just substitute the known information into the formula and solve for h.

 

96 = (1/3) * π * (6)² * (h) 

 

96 = 12π * h

 

h = 96/12π = 8/π = 8/3.14 = 2.55 cm