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max2010maxim [7]
3 years ago
10

A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism

with the dimensions of 8 inches by 11 inches by 5 inches. Assuming golf balls are spherical with a 1.68 inch diameter, how many golf balls should fit in the compartment bag?
Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

The answer to your question is: ≈ 178 balls

Step-by-step explanation:

Data

rectangular prism = 8 in x 11 in x 5 in

golf balls = 1.68 in diameter

Formula

Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³

Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³

# of balls inside the compartment = volume rectangular prism / volume ball

# of balls = 440 / 2.48

               = 177.4 ≈ 178 balls

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How many whole numbers are there, whose squares and cubes have the same number of digits?
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Answer:

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