Question

If the radius of a cylinder is 4cm and height is 10cm, then the total surface area of a cylinder is: (a) 440 sq.cm (b) 352 sq.cm (c) 400 sq.cm (d) 412 sq.cm
give solution
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Answer 1

Answer:

(b)352 cm²

Step-by-Step-solution :

Total surface area of a cylinder is :-

$2\pi \: r(h + r)$

Here,

• r = Base radius.
• h = Height of the cylinder.

Applying all the values:-

$2\pi \: r(h + r) = 2 \times \frac{22}{7} \times 4 \times (14)$

$= > \frac{44}{7} \times 4 \times 14 = 44 \times 4 \times 2$

$= > 44 \times 8 = (b) \: 352 \: {cm}^{2}$

So total surface area of the cylinder is 352 cm².

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Answer 2

Answer:

∴ Total surface area of a cylinder is $352$ sq.cm.

So, option (b) $352$ sq.cm. is correct.      

Step-by-step explanation:

• In context with question asked,
• We have to find the total surface area of a cylinder.
• It is given that, the radius of a cylinder = $4$ cm

                  The height of a cylinder = $10$ cm

• Now, the formula for surface area of a cylinder is given by,

        Total surface area of a cylinder = $2\pi rh+2\pi r^{2}$

                                                 = $2 \times 3.14 \times 4 \times 10+ 2 \times3.14 \times 4^{2}$    

                                                 = $351.68$ sq.cm.

                                                 = $352$ sq.cm.

• ∴ Total surface area of a cylinder is $352$ sq.cm.
• So, option (b) $352$ sq.cm. is correct.