Question

Fifty circular plates each of radius 7 cm and thickness½ cm are placed one above another to form a solid right circular cylinder.Find the total surface area and the volume of the cylinder so formed.​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Radius of the cylinder = 7 cm

Number of plates = 50

Height of the cylinder = $\sf \frac{1}{2} \: cm$

To Find :-

The total surface area.

The volume of the cylinder.

Formula to be used :-

Total surface area = 2πr (h + r)

Volume of cylinder = πr²h

Solution :-

Height of the cylinder = Number of plates × thickness of one plate

Height of the cylinder =  $\sf 50\times \frac{1}{2} \: cm=25 \: cm$

$\bf Total \: surface \: area = 2\pi r(h+r)$

$\sf Total \: surface \: area = 2\times\dfrac{22}{7}\times7(25+7)$

$\sf Total \: surface \: area = 44\times32$

$\bf Total \: surface \: area =1408 \: cm^2$

$\bf Volume \: of \: cylinder = \pi r^2h$

$\sf Volume \: of \: cylinder = \dfrac{22}{7}\times7\times7\times25$

$\sf Volume \: of \: cylinder =22\times7\times25$

$\bf Volume \: of \: cylinder =3850 \: cm^3$

Hence, the total surface area and the volume of the cylinder are 1408 cm² and 3850 cm³.