(a)[2]
Show that the total surface area $A\text{ cm}^2$ of each cone can be written as $A = 6r(r+2)$.
(b)[1]
Fill in the table for $A = 6r(r+2)$.
(c)[2]
On the grid opposite, plot the graph of $A = 6r(r+2)$.
(d)[2]
Find $h$ as an expression in terms of $r$.
(e)[2]
A cone has height $12\text{ cm}$. Calculate its radius.
(f(i))[1]
Another cone has a surface area of $200\text{ cm}^2$. Use your graph to find the radius of this cone.
(f(ii))[2]
This cone is placed in a box of height $p$ cm, where $p$ is an integer. Find the smallest possible value of $p$.