Mila is designing a necklace with 12 platinum spherical beads that each have a radius of 7 millimeters. she has 350 grams of platinum to use. if pure platinum has a mass of 21.5 grams per cubic centimeter, does she have enough to make the 12 spherical beads? explain how you found your answer.

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15-06-2022
Mathematics

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Mila is designing a necklace with 12 platinum spherical beads that each have a radius of 7 millimeters. she has 350 grams of platinum to use. if pure platinum has a mass of 21.5 grams per cubic centimeter, does she have enough to make the 12 spherical beads? explain how you found your answer.

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ap8997154 ap8997154 · Answer 1 · 2022-06-18T08:34:06+02:00

Volume is a three-dimensional scalar quantity. Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of 12 bead = 12 × (4/3) × π × R³

= 12 × (4/3) × π × (0.7)³

= 17.241 cm³

Given the density of platinum as 21.5 grams per cubic centimeter, therefore,

Mass = density × Volume = 370.682

Since Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

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