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The total surface area of a cylinder of radius 7 cm is $880 cm^{2}$. Find the height of the cylinder.
Given :
The total surface area of a cylinder of radius $7 cm = 880 cm^2$.
To find:
we have to find the height of the cylinder.
Solution:
Let the height of the cylinder be 'h' cm.
The total surface area of a cylinder of radius r and height $h = 2πrh+2πr^2$
Therefore,
$2πrh+2πr^2 = 2 \times \frac{22}{7} \times 7 \times h + 2 \times \frac{22}{7} \times 7 \times 7$
$880 = 44h+44\times7$
$44\times 20 = 44(h+7)$
$20 = h+7$
$h = 20-7$
$h = 13 cm$.
The height of the cylinder is 13 cm.
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