Adesign on the surface of a balloon is 5 cm wide when the balloon holds 71 cm^3 of air. how much air does the balloon hold when the design is 10 cm wide? explain the method you use to find the amount of air.

 r = radius then balloon has 71 cu/cmv=4/3 pi r^3=71
pir^3=71*3/4
pir^3= 53.25
r^3=53.25/pi
r^3 = 16.95
r = 2.57 cm when the balloon holds 71 cu/cm
Find the surface area
SA = 4*pi*2.57^2
SA = 83 sq/cm
To double the surface area so the design goes from 5 cm to 10 cm wide
Find r for double the surface area
4*pi*r^2 = 166 sq/cm
r=sqrt 166/4pi
r = 3.63 cm
Find volume when r = 3.63
v=4/3 pi 3.63^3
V = 200.36 cu/cm
hope this helps