Question 5: the circumference is given by: C = 2 * pi * r Where, r: radio of the ball Substituting values we have: 22 = 2 * pi * r Clearing r we have: r = 11 / pi The surface area is given by: A = 4 * pi * r ^ 2 Substituting values we have: A = 4 * 3.14 * (11 / 3.14) ^ 2 A = 154 in ^ 2 Answer: The surface area of the balloon is: A = 154 in ^ 2
Question 8: For this case we have that the scale factor is given by: V1 = (k ^ 3) * V2 Substituting values we have: 729 = (k ^ 3) * 2744 Clearing k: k = (729/2744) ^ (1/3) k = 9/14 Answer: the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is: 9:14
Question 2: The volume of the cylinder is given by: V = pi * r ^ 2 * h Where, r : radio h: height Substituting values: V = pi * (2.8) ^ 2 * (13) V = 101.92 * pi Answer: The volume of the cylinder is: V = 101.92 * pi option 3
The solution for this problem is: If there is 60 platters of B at a cost of $720: (220 - 60 x 3) / 4 = 10 platters of A to make up for the deficit in hamburgers (270 - 60 x 4) / 3 = 10 platters of A to make up for the deficit in hot dogs (250 - 60 x 5) / 2 = 0 platters of A since there is no deficit in pigs feet
So 10 platters A are required at a cost of $150. $720 + $150 = for a total minimum cost of $870.
