1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notsponge [240]
3 years ago
15

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 a

nd 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?
Mathematics
2 answers:
Burka [1]3 years ago
8 0

Answer:

a)Mass of gold cylinder is 19,261.80 grams and mass of can of sand is 2,994.063 grams.

b) Thief will not able to set off the alarm as mass of gold can is larger than the mass of can filled with sand.

Step-by-step explanation:

a) Radius of the gold can = r = 3.8 cm

Height of the gold can = h = 22 cm

Volume of the cylinder =\pi r^2h

Volume of the gold can = V

V=\pi r^2 h=3.14\times (3.8 cm)^2\times 22cm=998.021 cm^3

Can of sand and the gold cylinder have exactly the same dimensions so it will also have same volume.

Volume of can of sand = V' = V =998.021 cm^3

Mass of gold cylinder = M

Mass of can of sand = M'

Density of the gold = D=19.3 g/cm^3

M=D\times V=19.3 g/cm^3\times 998.021 cm^3=19,261.80 g

Density of the sand= D=3.00 g/cm^3

M'=D'\times V=3.00 g/cm^3\times 998.021 cm^3=2,994.063 g

b) As we can see that ; M>M'

Since, the gold cylinder sits on a weight sensitive, alarmed pedestal which will easily detect the change in mass of object kept on it.

Thief will not able to set off the alarm as mass of gold can is larger than the mass of can filled with sand.

myrzilka [38]3 years ago
4 0

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

You might be interested in
2. Maria has a garden that is 6 feet by 4 feet. What is the perimeter of Maria's garden?
Anton [14]

Answer:

  = 20 ft

Step-by-step explanation:

The perimeter is found by

P = 2(l+w)

  = 2(6+4)

   =2(10)

  = 20 ft

8 0
3 years ago
Over the last three evenings, Ashley received a total of 106 phone calls at the call center. The third evening, she received 2 t
V125BC [204]
Change X and Z. X is first evening
Y is second
Z is third evening

5 0
3 years ago
Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for thenumber of miles per gallon of gasoline
zimovet [89]

Answer:

C

Step-by-step explanation:

164.7/8.6 = 19.15

about 20 miles per gallon

4 0
3 years ago
Divide. write each answer in simplest form.
Aleksandr [31]

Answer:

just do cross multiplication

Step-by-step explanation:

then ans will come

5 0
3 years ago
Read 2 more answers
Please help me this is due today
Evgen [1.6K]
Split the room into 2 rectangles 
area =  5*4 + 3*3  = 29 sq ft

So the cost is 29*8 =  $232
6 0
3 years ago
Other questions:
  • ebony built a model of an Egyptian pyramid her model measures 0.5 meters along the bottom of one side and 0.3 meters tall what i
    6·2 answers
  • A computer has the shape of a rectangular solid.Find the volume of the computer,with the dimensions of 4inches by 4inches by 4.2
    7·1 answer
  • Is this relation A function? (a lot of points i’ll give)
    11·1 answer
  • A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
    12·2 answers
  • If 12x = 108 how much is x?
    8·2 answers
  • A car that normally sells for $20,000 is on sale for $16,000. The sales tax is 7.5% What percent of the original price of the ca
    11·2 answers
  • I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!
    14·1 answer
  • The zoo charges the Garcia family an admission fee of $5 per person
    8·1 answer
  • The x axis is<br> vertical<br> horizontal<br> diagonal
    13·2 answers
  • 4y-1=3 what is the y - intercept
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!