Question

a perfume sample in a small cylindrical bottle which is 0.8 cm in diameter is distributed for free. How tall is the bottle if it contains 2 mL of the perfume

Answer 1

*Note that: 2mL is equivalent to 2 cubic centimeters.

Volume of bottle = 2 cm^3
Volume is given by, V = circular area * height

Circular area is given by, A = pi * r^2, where r is the radius.

Calculate the circular area,
A= pi * (0.4)^2 (note that 0.8 is the diameter)( half of that is the radius)
A= 0.16pi

Volume = 2 = 0.16pi *height
Height = 2/(0.16pi) = 3.978cm = 3.98cm approx.