Respuesta :
Answer:
Total Weight of one ball = 1.62 ounces
Step-by-step explanation:
The data given for a standard gold ball:
Diameter = 1.680 inches
Weight per inch³ = 0.6523 ounces
First find the radius:
Radius = Diameter/2 = 1.680/2 = 0.84 inches
Find Volume of the gold ball:
Volume = (4/3) π r³
Volume = (4/3)π (0.84)³
Volume = 2.48 inch³
Find the Total Weight:
Total Weight of one ball = Volume · Weight per inch³
Total Weight of one ball = (2.48 inch³) · (0.6523 ounces/inch³)
Total Weight of one ball = 1.617704 ounces
Total Weight of one ball = 1.62 ounces (Rounded off)
The Total Weight of one ball is 1.62 ounces
Calculation of the total weight:
Since
a standard size golf ball has a diameter of 1.680 inches. The material used to make the golf balls weighs 0.6523 ounces per cubic inch.
So here the radius should be half of diameter i.e. 0.84 inches
Now
The Volume of the gold ball:
Volume
[tex]= (4/3) \pi r^3\\\\ = (4/3)\pi (0.84)^3\\\\ = 2.48 inch^3[/tex]
Now the Total Weight is
Total Weight of one ball = Volume · Weight per inch³
= (2.48 inch³) · (0.6523 ounces/inch³)
= 1.617704 ounces
= 1.62 ounces
hence, The Total Weight of one ball is 1.62 ounces
Learn more about volume here: https://brainly.com/question/16017437