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/cm3 and density of sand = 3.00g/cm3)

b. did the thief set off the alarm?

Question

Gabriel

Mathematics

16 October, 04:54

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/cm3 and density of sand = 3.00g/cm3)

b. did the thief set off the alarm?

+2

Answers (1)

Know the Answer?

Pamela Sweeney · Answer 1

just looking at the density of the sand and gold you can see the gold is heavier but here are calculations for proof:

calculate volume of cylinder

V=PI x r^2 x h = 3.14 x 3.8^2 x 22 = 997.52 cubic cm

now calculate mass of the gold and the sand

gold = 19.3 x 997.52 = 19252 grams (19.25 kilograms)

sand = 3.00 x 997.52 = 2992.56 grams (2.99 kilograms)

so yes he set the alarm off