Steve bought a new graduated cylinder for his chemistry class. It holds 1,000 mL of liquid. If the cylinder has a radius of 5 cm, then how tall is the cylinder?
(1 milliliter is equal to 1 cubic centimeter)
A.
100 cm
B.
40,000 cm
C.
200 cm
D.
40 cm
The equation for volume is ‘area of the base * height = volume’ We are given the radius of the cylinder, so we can solve for the base area: pi(r^2) pi(5cm^2) 25cm^2(pi) =78.54cm^2
With this, we can now use the volume formula to solve for the height. (Replace mL with cm^3) 78.54cm^2(height)=1000cm^3 Height=12.73cm
