Question

a cylinder has a radius 7 cm and height 14 cm .Find its lateral surface area wnd total surface area​

Answer 1

Answer:

If 7 cm and 14 cm are the radius and height of the cylinder respectively, then its lateral surface area is $=616cm^{2}$ and total surface area is $=924cm^{2}$

Step-by-step explanation:

Given

Height of the cylinder (h). = 14 cm

The radius of the cylinder (r) = 7cm

The lateral surface area of the cylinder $=2\pi rh$

$=2*\frac{22}{7} *7*14\\\\= 2*22*14\\\\=616cm^{2}$

The total surface area of the given cylinder $= 2\pi rh+ 2\pi r^{2}$

Here, $2\pi rh=616cm^{2}$

So,

$2\pi rh+2\pi r^{2} = 616+(2*\frac{22}{7} *7*7)\\\\=616+(2*22*7)\\\\= 616+308\\\\=924cm^{2}$

So,

the lateral surface area of the cylinder $=616cm^{2}$

and the total surface area of the cylinder$=924cm^{2}$