I have had a few of these questions (both volume and surface area) and not comfortable with changing the formula over. Any help is appreciated to logical steps for this and other such problems
Question1
A cone has radiusr and slant height l.
A cylinder has radius r and height r.
The total surface area of the cone is equal to the total surface area of the cylinder.
Find an expression for l in terms of r.
If you plug "r" in for "h" (because h = r) in , what do you get? (Plug "r" in for "h" in the formula you were given, simplify, and note the result.)
If you solve for , what do you get? (Divide through by and then solve the resulting literal equation.)
If you get stuck, please reply showing how far you have gotten. Thank you!