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Mathematics

Grade9

Easy

Question

Find the surface area.

140.25 cm²
439.82 cm²
219.91 cm²
192.25 cm²

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: 439.82 cm²

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 = $9 space c m$ and diameter = $10 space c m$
In this question we are given the diameter of the circle and we need to find the radius of the circle and we know that the radius of the circle is half of the diameter
Step1: Calculating the radius of the circle
$r equals d over 2$
=> $r equals 10 over 2$
=> r = $5 space c m$
Step1: Calculating the total surface area of cylinder by putting the values of r and h in the formula of total surface area of cylinder.
$2 pi r left parenthesis r plus h right parenthesis$
=> $2 cross times pi cross times 5 cross times left parenthesis 5 plus 9 right parenthesis$
=> $439.82 space c m squared$
So, the total surface area of the cylinder is $439.82 space c m squared$ .

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