Question

1. The diameter of the base and the height of a solid
cylinder are 14 cm and 10 cm respectively. Find the
total surface area of the cylinder.
​

Answer 1

Given :

• Diameter of base is 14 cm .
• Height of Cylinder is 10 cm .

To Find :

• Total Surface Area of Cylinder .

Solution :

$\longmapsto\tt{Radius=\cancel\dfrac{14}{2}=7\:cm}$

$\longmapsto\tt{Height=10\:cm}$

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\not{7}}}\times{{\not{7}}}\times{(7+10)}}$

$\longmapsto\tt{2\times{22}\times{(17)}}$

$\longmapsto\tt{44\times{17}}$

$\longmapsto\tt\bf{748\:{cm}^{2}}$

So , The Total Surface Area of Cylinder is 748 cm² ..

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• C.S.A of Cylinder = 2πrh
• T.S.A of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h

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