Question

The diameter of a cylinder is 60 cm and the height of the cylinder is 7 cm. find the volume of the cylinder

Answer 1

Hint: We will first consider the given data as the diameter of a cylinder is given as 60 cm so, we will first find the radius by dividing the diameter by 2. Also, the height is given so we will directly apply the formula for the volume of the cylinder that is \[V = \pi {r^2}h\]. Now, after substituting the values we will find the volume of the cylinder.

Complete step-by-step answer:
Consider the given value that is diameter is given as 60 cm and the height of the cylinder is 7cm.
First, we will find the radius of the cylinder by dividing the diameter by 2.
So, we get,
\[
  r = \dfrac{d}{2} \\
   = \dfrac{{60}}{2} \\
   = 30 \\
\]
Hence, the radius of the cylinder is 30 cm.
Now, we will use the formula of the volume of a cylinder that is \[V = \pi {r^2}h\]
We will substitute \[\pi = \dfrac{{22}}{7}\], radius as 30 and height as 7.
Thus, we get,
\[
   \Rightarrow V = \left( {\dfrac{{22}}{7}} \right){\left( {30} \right)^2}\left( 7 \right) \\
   \Rightarrow V = \left( {22} \right)\left( {900} \right) \\
   \Rightarrow V = 19800 \\
\]
Thus, the volume of the cylinder is 19800cm cube.

Note: The units of height and diameter of the cylinder are in cm so we do not need to convert the unit and the radius and volume of the cylinder unit will also be cm and cm cube respectively. Use the value of \[\pi = \dfrac{{22}}{7}\] instead of \[\pi = 3.14\] to make the calculations easy. The radius of the cylinder is half of the diameter of the cylinder. Use a direct formula to find the volume of the cylinder that is \[V = \pi {r^2}h\].