Answer this please!!

Question

A solid sphere of silver with a diameter of 5.00 inches is worth how much (in dollars)? Volume of sphere=4/3 pi r³. Density of silver is 10.49 g/cm³. Price of silver is $392.34/pound. Report correct number of significant figures.

Answer 1

The price of silver is given in dollars per pound, so we will have to find out how many pounds we have.

To find pounds, let us first find grams of silver, and then convert to pounds.

Volume = 4/3 π r³

r = 1/2 diameter = 1/2 5.00 inches = 2.50 inches x 1 inch/2.54 cm = 0.984 cm

Volume = 4/3 x 3.1416 x (0.984)³ = 3.994 cm³

Converting volume to mass we have 3.994 cm³ x 10.49 g/cm³ = 41.90 g

Converting g to lbs we have 41.90 g x 1 lb/454 g = 0.0923 lbs

Worth ($) = 0.0923 lbs x $392.34/lb = $36.2