Question

The total surface area of a cylinder is 4356 square centimeter what will be the height of the cylinder if radius of its base is 21 centimeter

Answer 1

The height of the cylinder is 12 cm.

Step-by-step explanation:

The total surface area of a cylinder is:

$TSA=2\pi rh-2\pi r^{2}$

Given:

TSA = 4356 cm²

r = 21 cm

Compute the value of height as follows:

$TSA=2\pi rh-2\pi r^{2}\\4356=2\pi\times 21\times h+2\pi \times21^{2}\\132h=1584\\h=12$

Thus, the height of the cylinder is 12 cm.

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