Answer:
r = -(-339/π)^(1/3)/2^(2/3) or r = (339/π)^(1/3)/2^(2/3) or r = ((-1)^(2/3) (339/π)^(1/3))/2^(2/3)
Step-by-step explanation:
Volume of the balloon is 113 ml=0.113 liters
1 liter= 1000 cm^3
the volume of the balloon in centimeters will be:
1000(0.113) = 113 cm^3
The radius of the balloon will be calculated as follows;
v=4/3πr³
plugging our values in the formula we get:
113=4/3πr³
solving for r we get
Solve for r:
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113 = (4 π r^3)/3
113 = (4 π r^3)/3 is equivalent to (4 π r^3)/3 = 113:
(4 π r^3)/3 = 113
Divide both sides by (4 π)/3:
r^3 = 339/(4 π)
Taking cube roots gives (339/π)^(1/3)/2^(2/3) times the third roots of unity:
Answer: |
| r = -(-339/π)^(1/3)/2^(2/3) or r = (339/π)^(1/3)/2^(2/3) or r = ((-1)^(2/3) (339/π)^(1/3))/2^(2/3)
