Question

A cylinder has a lateral surface area of about 80 square inches. What is the height of the cylinder if the radius is 4 inches

Answer 1

Height of cylinder is $h=3.184in$ .

Step-by-step explanation:

Here we have , A cylinder has a lateral surface area of about 80 square inches. We need to find What is the height of the cylinder if the radius is 4 inches . Let's find out:

We know that  lateral surface area of cylinder = $2\pi rh$ , Dimensions are as

$(Lateral)area = 80in^2\\radius =r=4in\\height= ?$

Putting value of these in $2\pi rh$ we get:

⇒ $2\pi rh=80$

⇒ $\frac{2\pi rh}{2\pi r}=\frac{80}{2\pi r}$

⇒ $h=\frac{80}{2\pi r}$

⇒ $h=\frac{80}{2(3.14)( 4)}$

⇒ $h=\frac{80}{25.12}$

⇒ $h=3.184in$

Therefore , Height of cylinder is $h=3.184in$ .