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A thief uses a can of sand to replace a solid gold

Chapter 1, Problem 113E

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QUESTION:

A thief uses a can of sand to replace a solid gold cylinder that sits on a weight-sensitive, alarmed pedestal. The can of sand and the gold cylinder have exactly the same dimensions ( length = 22 cm and radius = 3.8 cm ).

a. Calculate the mass of each cylinder (ignore the mass of the can itself). (density of gold = \(19.3 \ g/cm^3\), density of sand = \(3.00 \ g/cm^3\))

b. Did the thief set off the alarm? Explain.

Questions & Answers

QUESTION:

A thief uses a can of sand to replace a solid gold cylinder that sits on a weight-sensitive, alarmed pedestal. The can of sand and the gold cylinder have exactly the same dimensions ( length = 22 cm and radius = 3.8 cm ).

a. Calculate the mass of each cylinder (ignore the mass of the can itself). (density of gold = \(19.3 \ g/cm^3\), density of sand = \(3.00 \ g/cm^3\))

b. Did the thief set off the alarm? Explain.

ANSWER:

Step 1 of 3

(a)

From the given,

Length of gold cylinder = 22 cm

Radius of the gold cylinder = 3.8 cm

Density of gold =
Density of sand =

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