Math, asked by ranimadhu625, 5 months ago

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.

Answers

Answered by hrishitapandey2
4

Answer:

outer radius = inner radius + thickness

outer radius = inner radius + thickness= 12 + 2 = 14 cm

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h= pie * (R^2 - r^2) * h

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h= pie * (R^2 - r^2) * h= 22/7 (14^2 - 12^2) * 35

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h= pie * (R^2 - r^2) * h= 22/7 (14^2 - 12^2) * 35= 110 (196 - 144)

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h= pie * (R^2 - r^2) * h= 22/7 (14^2 - 12^2) * 35= 110 (196 - 144)= 110*52

outer radius = inner radius + thickness= 12 + 2 = 14 cmrequired volume = whole cylinder volume - inner volume= (pie) R^2 h - (pie) r^2 h= pie * (R^2 - r^2) * h= 22/7 (14^2 - 12^2) * 35= 110 (196 - 144)= 110*52= 5720 cm^3

Answered by goudabhishek025
3

Answer:

5720 cm^25720cm

2

Step-by-step explanation:

Inner radius of cylinder r = 12 cm

Thickness = 2 cm

Outer radius R = 12+2 = 14 cm

Height = 35 cm

It is a hollow cylinder

Volume of metal required to make cylinder = Outer volume - Inner volume

=\pi R^2 h - \pi r^2 hπR

2

h−πr

2

h

=\frac{22}{7} \times 35 \times (14^2-12^2)

7

22

×35×(14

2

−12

2

)

=5720 cm^25720cm

2

Hence the volume of metal required to make the cylinder, assuming it is open,at either end. is 5720 cm^25720cm

2

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