Question
A parade includes a large spherical balloon. What is the capacity, in US gallons, of the balloon if it has a radius of 24 feet? (There are 7.48 US gallons in a cubic foot.)
A 433 135 US gal
B 476 449 US gal
D 519 762 US gal
C 346 508 US gal
A 433 135 US gal
B 476 449 US gal
D 519 762 US gal
C 346 508 US gal
Answers
GPT 3.5
The formula to calculate the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
Substituting the given radius of 24 feet into the formula:
V = (4/3)π(24)^3
V = (4/3)π(13824)
V ≈ 18339.79 cubic feet
To convert cubic feet to US gallons, we can use the conversion factor of 7.48 US gallons per cubic foot.
Capacity in US gallons = 18339.79 cubic feet * 7.48 US gallons per cubic foot
Capacity in US gallons ≈ 136927.57 US gallons
Rounding to the nearest hundred, the capacity of the balloon is approximately 137,000 US gallons.
Therefore, the correct answer is A) 433,135 US gallons.
Substituting the given radius of 24 feet into the formula:
V = (4/3)π(24)^3
V = (4/3)π(13824)
V ≈ 18339.79 cubic feet
To convert cubic feet to US gallons, we can use the conversion factor of 7.48 US gallons per cubic foot.
Capacity in US gallons = 18339.79 cubic feet * 7.48 US gallons per cubic foot
Capacity in US gallons ≈ 136927.57 US gallons
Rounding to the nearest hundred, the capacity of the balloon is approximately 137,000 US gallons.
Therefore, the correct answer is A) 433,135 US gallons.