Calculate balloon volume for each balloon at maximum inflation from the circumference data. (You will have to assume that the balloon was a perfect sphere.) To calculate balloon volume, first find the radius (in cm) of the balloon by using the formula C = 2πr. Then, use the radius' value in the formula V = (4/3) πr3 to calculate volume (in cm3). Show all your work, place units on all numbers (even those within the calculations), and express your answers with appropriate sig figs. (12 pts)

Question

Mathematics

Hadassah Bradley

9 June, 09:20

Calculate balloon volume for each balloon at maximum inflation from the circumference data. (You will have to assume that the balloon was a perfect sphere.) To calculate balloon volume, first find the radius (in cm) of the balloon by using the formula C = 2πr. Then, use the radius' value in the formula V = (4/3) πr3 to calculate volume (in cm3). Show all your work, place units on all numbers (even those within the calculations), and express your answers with appropriate sig figs. (12 pts)

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Answers (1)

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Mauricio Andrews · Answer 1

r₁ = 3.583cm

V₁ = 192.55cm³

r₂ = 5.176cm

V₂ = 580.283cm³

r₃ = 5.255cm

V₃ = 607.479cm³

Step-by-step explanation:

assuming circumferences of each balloons are given as follows C₁ = 22.5cm, C₂ = 32.5cm and C₃ = 33cm

Recall C = 2πr

volume of a sphere is 4/3πr³