Question

A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube?Report your answer in mm' but do not include the unit mm in your answer box. Round your answer to the nearest wholenumber and do not include commas in your answer. The formula for volume of a cylinder is V = ar?h.

Answer 1

The formula for the volume of a cylinder is

$V=\pi r^2h$

Where

V is the volume of the cylinder

r is the radius of the cylinder

h is the height (or length) of the cylinder

Now,

Given,

r = 6.5 mm

h = 152 mm

Let's substitute the given values into the formula and figure out the volume of the cylinder. This is shown below:

$\begin{gathered} V=\pi r^2h \\ V=\pi(6.5)^2(152) \\ V=6422\pi \end{gathered}$

Using a calculator and rounding the answer to the nearest whole number, we have:

$\begin{gathered} V=6422\pi \\ V\approx20175.31 \\ V=20,175 \end{gathered}$Answer

Volume = 20,175 cubic millimeters