Question

Fred bought a new graduated cylinder for his chemistry class. It holds 136.71 mL of liquid. If the cylinder has a radius of 2.1 cm, then how tall is the cylinder?

(1 milliliter is equal to 1 cubic centimeter)
A.
65 cm
B.
33 cm
C.
4,238 cm
D.
31 cm

Answer 1

For this case, the first thing we need to know is that the volume of a clinker is given by:
 V = pi * r ^ 2 * h
 Where,
 r: cylinder radius
 h: cylinder height
 Substituting values we have:
 136.71 = 3.14 * (2.1) ^ 2 * h
 Clearing h we have:
 h = (136.71) / (3.14 * (2.1) ^ 2)
 h = 9.87 cm
 Answer:
 the cylinder is 9.87 cm tall
 Note: answer is not among the options. Please review the problem data, or the options again.