Question

The ratio of the radius and height of a cylinder is 2:3. if its volume is 12936 cm cube , find the total surface area of the cylinder.

Answer 1

Answer:

Total surface area of cylinder is given by 3080 square centimeter.

Step-by-step explanation:

If the height of cylinder is h, then the radius of the cylinder is

$r=\frac{2}{3}h$

Volume of the cylinder is given by

$V=\pi r^2h\\12936=\frac{22}{7}(\frac{2}{3}h)^2\times h\\\\h^3=9261\\h=21cm$

The radius is

$r=\frac{2}{3}(21)\\\\r=14cm$

Total surface area of cylinder is given by

$A=2\pi rh +2\pi r^2\\\\A=2\cdot\frac{22}{7}\cdot14\cdot21+2\cdot\frac{22}{7}\cdot(14)^2\\\\A=3080cm^2$

Answer 2

Answer of the above question is 3080cm².