Question

6.
The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its inner
radius is 12 cm. Find the volume of metal required to make the cylinder, assuming
it is open, at either end.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Question :-

★ The thickness of a hollow metallic cylinder is 2 cm It is 35 cm long and its inner radius is 12 cm.Find the volume of metal required to make the cylinder assuming it is open and the other end.

Given :-

Inner radius of cylinder r = 12 cm.

Thickness = 2 cm.

Height = 35 cm

To Find :-

Other radius.

Volume of metal required to make cylinder.

Solution :-

Other radius

$R = {\bf{12 + 2 = 14 \: cm }}$

It is a hollow cylinder.

${\boxed{{\bf{Volume \: of \: metal \: required \: to \: make \: cylinder = outer \: volume - inner \: volume}}}}$

${\bf{→ \pi R^{2} h - \pi r ^{2} h }}$

${\bf{→ \frac{22}{7} \times 35 \times (14 ^{2} - 12 ^{2}) }} \\ </p><p></p><p>{\bf\orange{→ {5720 \: cm}^{2} }}</p><p></p><p>$

$\green{★}$Hence, the volume of metal required to make the cylinder, assuming it is open, at either end

$= {\bf{ {5720 \: cm}^{2} }}$