SOLUTION: 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 B) if both pans are 2 in deep, de

Algebra ->  Angles -> SOLUTION: 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 B) if both pans are 2 in deep, de      Log On


   

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
B) if both pans are 2 in deep, determine the volume of each pan
C) which pan has the largest volume?
Area of the base of the round pan but I think I need A B and C too
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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%28round%29=%28pi%29r%5E2=%28pi%29%284+in%29%5E2=16%28pi%29in%5E2
A%28rectangle%29=L%2AW=6+in%2A8in=48in%5E2
B) if both pans are 2 in deep, determine the volume of each pan
V%28round%29=A%28round%29%2Adepth=16%28pi%29%2A2=32%28pi%29in%5E3
V%28rectangle%29=A%28rectangle%29%2Adepth=48in%5E2%2A2+in=96+in%5E3
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.)