Question

Find the volume of a right circular cylinder, if the radius (r) of its base and height (h) are 7 cm and 15 cm respectively.

Answer 1

Hint: Here, we will apply the formula of volume of a right circular cylinder which is given as $Vol=\pi \times {{r}^{2}}\times h$. With the help of this formula, we will find the volume using the given values of radius and height of the cylinder.

Complete step-by-step answer:
We know that a right circular cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base. All the points lying on the closed circular surface is a set of fixed distances from a straight line known as the axis of the cylinder. The two circular bases of the right cylinder have the same radius and are parallel to each other.

The radius of the circular base is always the radius of the cylinder.

We know that the formula for the volume of a right circular cylinder is given as:

$Vol=\pi \times {{r}^{2}}\times h..........(1)$ , here r is the radius and h is the height of the cylinder.

Since, it is given that the radius of the cylinder is 7 cm and the height is 15 cm. So, on putting these values in equation, we get:

$\begin{align}
  & Vol=\pi \times {{\left( 7 \right)}^{2}}\times 15 \\
 & \,\,\,\,\,\,\,\,=\dfrac{22}{7}\times 49\times 15 \\
 & \,\,\,\,\,\,\,\,=2,310\,c{{m}^{3}} \\
\end{align}$

Hence, the radius of the given cylinder is $2,310\,c{{m}^{3}}$.

Note: Students should note that in a right circular cylinder the radius of the circular base is the radius of the cylinder. Students should remember the correct formula of the volume of a right circular cylinder and apply it properly with correct calculations to avoid unnecessary mistakes.