Question

The volume of the cylinder closed at one end is 1056cm cube. if its height is 21cm ,find its.

Answer 1

The formula for the volume of a cylinder is $\pi r^{2} h$. As the height and volume of the cylinder is given, the diameter of the cylinder can be computed with the following formula
$\frac{4V}{ \pi h} =D$.
This makes the diameter of the cylinder 64.0257 cm.
The area of a cylinder is $A= 2 \pi rh+ 2\pi r^{2} =2 \pi h \frac{D}{2} + 2\pi \frac{ D^{2} }{4}$. As the required quantities are known, the area of the cylinder is 10663.1461 cm^2 or 1.0663 m^2.