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avhearts14 avhearts14
  • 24-05-2015
  • Mathematics
Answered

A cylindrical can holds 500 mL and has a radius of 4 cm. Calculate the height of the can, to the nearest tenth of a centimetre.

Verified Answer :

Yeh Yeh
  • 24-05-2015

The volume of a cylinder is the area of the base * height, which is 
\(r^{2} \pi\)\(* h\)

radius is 4, so equation is:
\(\pi 4 ^{2} *h\)

We know that the cylinder holds 500 ml, so set the equation equal to 500:
\(\pi 4 ^{2} *h=500\)

Solve for h to find the answer to be around 9.9 cm.

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