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. What is the weight, to the nearest hundredth of an ounce of one golf ball

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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

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