Question

For a cylinder, What is the formula for -
a. Curved Surface Area
b. Total Surface Area
c. Volume

Answer 1

It will help you......

Answer 2

Answer:

• a.  $\rm 2\pi rL$.

• b. $\rm 2\pi r(r+L)$.

• c. $\rm \pi r^2\ L$.

Step-by-step explanation:

Assumptions:

• $\rm L$ = length of the cylinder.

• $\rm r$ = radius of the circular faces of the cylinder.

(a):

The curved surface area of a cylinder is the surface area of the cylinder when the surface area of its circular base and the top are excluded.

The curved surface area of the cylinder is equal to the circumference of the circular face times the length of the cylinder.

Circumference of the circle = $\rm 2\pi r$.

Therefore, the curved surface area of the cylinder = $\rm 2\pi r\ L$.

(b):

The total surface area of the cylinder is equal to the sum of its curved surface area and the area of its two circular faces.

Area of the one circular face = $\rm \pi r^2$.

Therefore, the total surface area of the cylinder = $\rm 2\pi r\ L\times 2(\pi r^2)=2\pi r(L+r)$.

(c):

The volume is defined as the amount of the space that an object occupies therefore the volume of the cylinder is equal to surface area of the circular face times its length.

Volume of the cylinder = $\rm \pi r^2\ L.$