Question

A cylinder of cheese is to be removed from a spherical piece of cheese with a radius of 8cm What is the maximum volume of the cylinder of cheese?

Answer 1

well i hope i dont miss anything here..
but i would suggest to find a relation between the height of the cylinder (call it h) and its radius (call it r) :

Answer 2

that's good thanks :)

Answer 3

well wait!!

Answer 4

i wrote:
now you have:
r^2+8^2=(0.5h)^2
which leads to:
r^2=0.25(h^2)-64

it is wrong. it should be

r^2+(0.5h)^2=8^2
r^2=64-0.25(h^2)

Answer 5

now you can write your function:
volume-of-cylinder: pi*h*r^2 = (using the relation we got) = pi*h*(64-0.25(h^2))

Answer 6

sorry for the confusion lol

Answer 7

that's fine :p