Help with the question above! Pleaseeeeee! Also I have a few more questions,PLEASE HELP WITH ALL OF THE QUESTIONS! 5. A balloon has a circumference of 22 in. Use the circumference approximate the surface area of the balloon to the nearest square inch. 154 in^2616 in^21,521 in^2484 in^28. Find the scale factor of a cube with volume 729 m^3 to a cube with volume 2,744 m^3.9:1481:196196:8114:9
Accepted Solution
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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