Question

The height of a right circular cylinder is 12.6cm and its radius is 5cm. Find the volume of the cylinder.

Answer 1

Hint: Use the formula $\pi {{r}^{2}}h$ to calculate the volume of the right circular cone, where ‘r’ is the radius of the cylinder and ‘h’ is the height of the cylinder. Substitute $r=5cm,h=12.6cm$ in the above formula and simplify it to calculate the volume of the given right circular cylinder.

Complete step-by-step answer:
We have to calculate the volume of a right circular cylinder whose radius is 5cm and height is 12.6cm.
We know that the volume of a right circular cylinder of radius ‘r’ and height ‘h’ is $\pi {{r}^{2}}h$.
  

Substituting $r=5cm,h=12.6cm$ in the above formula, the volume of the right circular cylinder is $=\pi {{\left( 5 \right)}^{2}}\left( 12.6 \right)$.
Simplifying the above expression, the volume of the cylinder is $=\pi {{\left( 5 \right)}^{2}}\left( 12.6 \right)=989.1c{{m}^{3}}$.
Hence, the volume of the right circular cylinder with radius equal to 6cm and height equal to 12.6cm is $989.1c{{m}^{3}}$.

Note: A right circular cylinder is a cylinder whose base is a circle and the axis of the cylinder is perpendicular to the base. The axis of a right circular cylinder is a line joining the centres of the bases. It has 3 faces – 2 circular bases and one rectangle, 2 edges and no vertices. One must be careful about units while calculating the volume of the cylinder. As the radius and height of the cylinder are in centimetres, the volume of the cylinder is in cubic centimetres.