Question

find the volume and the total surface area of a right circular solid cylinder whose radius and height respectively are 14 cm and 20 cm.​

Answer 1

EXPLANATION.

Radius of right circular solid cylinder = 14cm.

Height of right circular solid cylinder = 20cm.

As we know that,

Volume of cylinder = πr²h.

⇒ 22/7 x 14 x 14 x 20.

⇒ 22 x 2 x 14 x 20 = 12,320cm³.

Total surface area of cylinder = 2πr(r + h).

⇒ 2 x 22/7 x 14(14 + 20).

⇒ 2 x 22/7 x 14(34).

⇒ 2 x 22 x 2(34).

⇒ 88(34) = 2,992cm².

Answer 2

$\huge⟼\color{red}\boxed{\sf2992\: cm²}$

Step-by-step explanation:

The total surface of a cylinder closed at both ends = area of the curved surface + the two circular areas at both ends.

Here the radius = 14 cm and the height = 20 cm.

The area of the curved surface = $\sf 2\pi rh$ = $\sf 2 \times ( \frac{22}{7} ) \times 14 \times 20$ = 1760 sq cm.

The area of the two ends = $\sf 2 \pi r^2$ = $\sf2 \times ( \frac{22}{7} ) \times 14 \times 14$ = 1232 sq.cm.

So, the total surface area of the cylinder = 1760 + 1232 = 2992 sq.cm.

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