Q 3. - Calculus

Question

Give formulas for the volume and the surface area of a cylinder with radius $y$ and height $s$. 

Step-by-Step Solution

Answer

Volume of cylinder is $V=\pi y^{2}s$.

Surface area of cylinder is $S=2\pi ys+2\pi y^2$.

Step 1. Standard formulas

The volume and surface area of a right circular cylinder of radius $r$ and height $h$ are 
$V=\pi r^{2}h$

$S=2\pi rh+2\pi r^2$

Step 2. Substitution and solution

Now given that radius is $y$ and height is $s$ of cylinder

Substitute in standard formulas we get,

Volume of cylinder is $V=\pi y^{2}s$.

Surface area of cylinder is $S=2\pi ys+2\pi y^2$.