Answer to Question #188772 in Analytic Geometry for Kayla

Question

Peter bought a new graduated cylinder for his chemistry class. It holds 490 mL of liquid. If the cylinder has a radius of 3.5 cm, then how tall is the cylinder?

Answer 1

$r=3.5cm,$

Volume of cylinder$=490ml=490cm^3$

$\Rightarrow \pi r^2h=490$

$\Rightarrow h=\dfrac{490}{(3.5)^2\times 3.14}=12.73cm$

Hence The cylinder must be 12.73 cm tall to hold 490 ml of liquid.