The formula for calculating the volume of a cylinder is expressed as
Volume = πr^2h
where
r is the radius of the base,
π is a constant whose value is 3.14
h is the height of the cylinder
From the information given,
r = 5
volume = 785.4
By substituting these values into the formula,
785.4 = 3.14 x 5^2 x h = 78.5h
h = 785.4/78.5
h = 10.0051
The formula for calculating the surface area of a cylinder is expressed as
Surface area = 2πr(r + h)
Substituting π = 3.14, r = 5 and h = 10.0051 into the formula,
Surface area = 2 x 3.14 x 5(5 + 10.0051) = 31.4 x 15.0051
Surface area = 471.2 in^2
