Question 949289
When baking a cake you can choose between a round pan with an 8inch diameter and a 6 in x 8in pan.
A) Determine the area of the base of each pan
{{{A(round)=(pi)r^2}}}={{{(pi)(4 in)^2=16(pi)in^2}}}
{{{A(rectangle)=L*W}}}={{{6 in*8in=48in^2}}}
B) if both pans are 2 in deep, determine the volume of each pan 
{{{V(round)=A(round)*depth}}}={{{16(pi)*2=32(pi)in^3}}}
{{{V(rectangle)=A(rectangle)*depth}}}={{{48in^2*2 in=96 in^3}}}
C) which pan has the largest volume?
Since {{{pi}}} is slightly greater than 3 we know the round pan has a greater volume. (You can multiply it out if you doubt.)