High School

The FIFA World Cup of soccer, perhaps the most coveted sports trophy in the world, has a diameter of 217 mm. If it were made of solid gold, whose density is 19.3 grams per cubic centimeter, then how much would it weigh? (1 kg of mass weighs 2.2 lbs).

A. 227 lbs
B. 74.6 lbs
C. 909 lbs
D. 103 lbs

Answer :

If it were made of solid gold, whose density is 19.3 grams per cubic centimeter, then it would weigh (A) 227 lbs.

How to determine weight?

The volume of the trophy is (4/3)πr³ = (4/3)π(217/2)³ = 53288.5 cubic centimeters.

The mass of the trophy is 53288.5 x 19.3 grams = 1037722 grams.

Since 1 kg = 1000 grams, then the mass of the trophy is 1037722/1000 kg = 103.77 kg.

In pounds, the mass of the trophy is 103.77 x 2.2 lbs = 227 lbs.

So the answer is A.

Find out more on weight here: https://brainly.com/question/28571689

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