Respuesta :
5,082 balls golf balls would fit in a 55 gallon drum.
Solution:
Given,
Radius of a golf ball = 0.840 inches
[tex]\text {Volume of the golf ball}=\frac{4}{3} \times 3.14 \times r^{3}[/tex] [Pi = 3.14]
[tex]\rightarrow \frac{4}{3} \times 3.14 \times(0.840)^{3}=2.5 \text { inches }^{3} \\\\ \text { Volume of the gallon }=\text { number of gallons } \times \text { value of one gallon }[/tex]
[tex]\rightarrow 55 \times 231 \text { cubic inches }=12705 \text { cubic inches }[/tex]
[tex]\text { Number of balls fit }=\frac{\text { volume of the gallon }}{\text { volume of the golf ball }}[/tex]
[tex]\rightarrow \frac{12705}{2.5}=5,082[/tex]
About 5117 golf balls can fit into 55 gallon drums.
Volume
The volume of each gallon = 231 in³
The volume of 55 gallon drum = 55 * 231 in³ = 12705 in³
The volume of the golf ball = (4/3) * π * (0.84)³ = 2.48 in³
Number of golf ball to fit in 55 drum = 12705 in³ / 2.48 in³ = 5117
About 5117 golf balls can fit into 55 gallon drums.
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