Question

An ointment has a conical cap. What is the Volume of the cap. Which is 10mm tall and has the radius of its base 1 mm?. Use 3.14 for pi. Round the answer to the nearest hundredth

Answer 1

Step 1

Write out the formula for the volume of a cone

$Volume\text{ of a cone =}\frac{1}{3}\times\pi\times r^2\times h$

Step 2

Define the parameters

$\begin{gathered} \pi=\text{ 3.14} \\ r\text{ =1mm = radius} \\ h\text{ = height = 10mm} \end{gathered}$

Step 3

Substitute these parameters into the formula and get the volume

$\begin{gathered} V=\frac{1}{3}\times\text{ 3.14 }\times1^2\times10 \\ V\text{ = }10\frac{7}{15}mm^3=10.47mm^3\text{ to the nearest hundredth} \end{gathered}$