To calculate the lateral area of a cylinder, we can use the following formula.
L=2π rhIn this formula, r is the radius of the base and h is the height of the cylinder. We know that the diameter d of a circle is equal to 27.5yd and is exactly twice as long as its radius.
d=2r ⇒ r= d2= 27.52=13.75yd
Substituting r with 13.75 and h with 30 into the formula, and simplify.
We know that lateral area is 825π or about 2591.8 yd^2.
Surface Area
To calculate the surface area of a cylinder, we can use the following formula.
S=L+2π r^2
In this formula, L is the lateral area of the cylinder and r is the radius of the base.
Substituting L with 825π and r with 13.75 into the formula, and find S. Let's do it!