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0xjackiex0
0xjackiex0 0xjackiex0
  • 09-04-2015
  • Mathematics
Answered

The radius of a cylinder is 15 cm. The volume of the cylinder, found using 3.14 to approximate pi, is 19,782 cm3.


What is the height of the cylinder?


Express your answer as a whole number.


______cm

Verified Answer :

iGreen
iGreen iGreen
  • 09-04-2015

Formula:

\(\sf~V=\pi~r^2h\)

Plug in what we know:

\(\sf~19782=(3.14)(15)^2h\)

Simplify the exponent:

\(\sf~19782=(3.14)(225)h\)

Multiply:

\(\sf~19782=706.5h\)

Divide 706.5 to both sides:

\(\sf~h=\boxed{\sf28}\)

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