The thickness of a hollow metallic cylinder is 2 cm. It is 42 cm long and
its inner radius is 10 cm. Find the volume of metal required to make the
cylinder, assuming it is open at both the ends.
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Given
Thickness of cylinder =2cm
Length of cylinder (h) =70cm
Outer Radius (R) =14cm
Then inner Radius(r) =outer Radius - thickness
=14-2
=12cm
Volume of hollow cylinder
= \pi \: h( {R}^{2} - {r}^{2} )=πh(R2−r2)
= \frac{22}{7} \times 70 \times ( {14}^{2} - {12}^{2} )=722×70×(142−122)
= 22 \times 10 \times (196 - 144)=22×10×(196−144)
= 22 \times 10 \times 52=22×10×52
=11440cm³
Weight of 1cm³=8gm
So weight of 11440cm³=11440x8
=91520gm
=91520/1000
=91.52kg (1kg=1000gm)
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