Question

Find out the total surface area area and curved surface area of cylinder of radius 35 cm and height 35 cm.

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Answer 1

$\large{\red{\bold{\underline{Given:}}}}$

$\sf \: Radius \: of \: the \: cylinder = 35cm \\ \\ \sf \: Height \: of \: cylinder = 35cm$

$\large{\green{\bold{\underline{To \: Find:}}}}$

$\sf \: (i) \: Total \: surface \: area \: of \: cylinder \\ \\ \sf \: (ii) \: Curved \: surface \: area \: of \: cylinder$

$\large{\blue{\bold{\underline{Formula \: Used:}}}}$

$\sf \: Total \: surface \: area = 2\pi r(r + h) \\ \\ \sf \: Curved \: surface \: area = 2\pi rh$

$\large{\red{\underline\bold{{Solution:}}}}$

$\sf \: Let \: the \: radius \: of \: the \: cylinder \: be \: r, \\ \sf \: and \: the \: height \: of \: the \: cylinder \: as \: h$

$\large{\green{\bold{\underline{Then:}}}}$

$\sf \: (i) \: Total \: surface \: area = 2\pi r(r + h) \\ \\ \rightarrow \: \sf Total \: surface \: area = 2 \times \frac{22}{7} \times 35(35 + 35) \\ \\ \rightarrow \: \sf Total \: surface \: area = 2 \times \frac{22}{7} \times 35(70) \\ \\ \rightarrow \: \sf \: Total \: surface \: area = \frac{44}{\cancel7} \times \cancel35 \times 70 \\ \\ \rightarrow \: \sf \: Total \: surface \: area = 15400 \: {cm}^{2}$

$\large{\pink{\bold{\underline{Now:}}}}$

$\sf \: (ii) \: Curved \: surface \: area = 2\pi rh \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 2 \times \frac{22}{7} \times 35 \times 35 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 2 \times \frac{22}{\cancel7} \times \cancel35 \times 35 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 44 \times 5 \times 35 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 7700 \: {cm}^{2}$

$\large{\orange{\bold{\underline{Therefore:}}}}$

$\sf \: The \: total \: surface \: area \: of \: cylinder \: is \\ \sf \: 15400 {cm}^{2} \: and \: curved \: surface \: area \: is \: 7700 {cm}^{2}.$

Answer 2

Find out the Total Surface Area & Curved Surface Area of a Cylinder of Radius 35 cm & Height 35 cm.

Answer:

The Total Surface Area of the Cylinder is = 15,400 cm^{2}

The Curved Surface Area of the Cylinder is = 7,700 cm^{2}

Given:

Radius of the Cylinder = 35 cm.

Height of the Cylinder = 35 cm.

To Find:

The Curved Surface Area & The Total Surface Area of the Cylinder.

Solution:

The Formula of the Curved Surface Area of a Cylinder is - $2\pi r h$

Substituting the Given values above with the Formula,

= $2*\frac{22}{7} * 35 * 35$

= $2 * 22* 5* 35$ [Simplified Form of the Above Step]

= $7,700 cm^{2}$

The Formula of the Total Surface Area of a Cylinder is - $2\pi r (r + h)$

Substituting the Given values above with the Formula,

= $2 * \frac{22}{7} * 35 (35 + 35)$

= $2 * 22* 5 (70)$ [Simplified Form of the Above Given Formula]

= $220*70$

= $15,400cm^{2}$

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