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Mathematics

Grade9

Easy

Question

Find the surface area of the cylinder. (HINT: Make sure you use the RADIUS!)

100.53 square inches
351.86 square inches
251.33 square inches
50.27 square inches

hint Hint:

The total surface area of the cylinder is $2 pi r left parenthesis r plus h right parenthesis$ , where r is the radius of the cylinder and h is the height of the cylinder.

The correct answer is: 100.53 square inches

The total surface area of the cylinder is $2 pi r left parenthesis r plus h right parenthesis$ , where r is the radius of the cylinder and h is the height of the cylinder.
In this question we are given the height = $6 space c m$ and diameter = $4 space c m$
Step1: We are given the diameter of the cylinder and for finding the surface area we need to find the radius of the cylinder which can be done as follows
$r equals d over 2$
=> $r equals 4 over 2$
=> $2 space c m$
Step2: Calculating the total surface area of cylinder by putting the values of r and h in the formula of total surface area of cylinder.
$2 pi r left parenthesis r plus h right parenthesis$
=> $2 cross times pi cross times 2 cross times left parenthesis 4 plus 2 right parenthesis$
=> $100.53 space s q. space i n c h e s$
So, the total surface area of the cylinder is $100.53 space s q. space i n c h e s$ .

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