Q:

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

A:
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