Question

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

i)Diameter.
ii)Total surface area

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

`(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 (D)/(2) + 2\pi ( D^(2) )/(4)`. As the required quantities are known, the area of the cylinder is 10663.1461 cm^2 or 1.0663 m^2.