Question

The two cylinders, A and B are mathematically similar.

The height of cylinder B is twice the height of cylinder A
The total surface area of cylinder A is 180cm squared
Calculate the total surface area of cylinder B.
(3 marks
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Answer 1

720 cm²

Step-by-step explanation:

Formula for total surface area of a cylinder is;

TSA = 2πr² + 2πrh

We are told that the total surface area of cylinder A is 180cm². Thus;

2πr² + 2πrh = 180

Now, we are told that the height of cylinder B is twice the height of cylinder A.

This means that the length scale factor is 2. And as such the area scale factor is 2² = 4.

Thus area of cylinder B = 180 × 4 = 720 cm²