Question

Manuel incorrectly claimed that the surface area of the cylinder

shown is about 621.7 in.. Use a formula to find the surface area of the cylinder.

Use 3.14 for it. What was his likely error?

11 in

The surface area of the cylinder is about

(Round to the nearest tenth as needed.)

Answer 1

25.9%

Explanation:

Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem

Let us assume the dimension of the cylinder be

radius= 3in

height= 5 in

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr^2

Let us plug in the values to to find TSA

T. S. A. =2×3.14×3×5+2×3.14×3^2

Solving we get

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

we know that error % is calculated as

%error= [actual value-expected value/expected value]×100

%error= [190 -150.816/150.816]×100

%error= [39.184/150.816]×100

%error= 0.259×100

%error= 25.9%