Problem 5
d = 29 = diameter
r = d/2 = 29/2 = 14.5 = radius
SA = surface area of sphere
SA = 4*pi*r^2
SA = 4*pi*(14.5)^2
SA = 841pi
SA = 841*3.14
SA = 2,640.74 square inches
To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.
2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft
Answer: 18.3 square feet (approximate)
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Problem 6
d = 10.7 = diameter
r = d/2 = 10.7/2 = 5.35 = radius
L = 22.3 = slant height
SA = surface area of the cone
SA = pi*r^2 + pi*r*L
SA = pi*(5.35)^2 + pi*5.35*22.3
SA = 147.9275pi
SA = 147.9275*3.14
SA = 464.49235
Answer: 464.49235 square cm (approximate)