Question

If the diameter of a right circular cylinder is 10 cm and height is 4 cm, then its total surface area is ​

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

Diameter of a right circular cylinder, (D) = 10 cm

Height of cylinder, (h) = 4 cm

$\underline{\bf{Explanation\::}}$

As we know that formula of the T.S.A. of cylinder;

$\boxed{\bf{T.S.A = 2\pi r(r+h)\:\:\:(sq.unit)}}$

As we know that,

$\boxed{\bf{Radius = \frac{Diameter }{2} }}$

→ Radius = D/2

→ Radius = 10/2

→ Radius = 5 cm

A/q

$\mapsto\tt{T.S.A\:_{(cylinder)} = 2\pi r(r+h)}$

$\mapsto\tt{T.S.A\:_{(cylinder)} = 2 \times \dfrac{22}{7} \times 5(5+4)}$

$\mapsto\tt{T.S.A\:_{(cylinder)} = \dfrac{44}{7} \times 5(9)}$

$\mapsto\tt{T.S.A\:_{(cylinder)} = \dfrac{44}{7} \times 45}$

$\mapsto\tt{T.S.A\:_{(cylinder)} = \cancel{\dfrac{1980}{7}}}$

$\mapsto\bf{T.S.A\:_{(cylinder)} = 282.85\:cm^{2}}$

Thus,

The total surface area of right circular cylinder will be 282.85 cm²

Answer 2

Step-by-step explanation:

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