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The thickness of a hollow wooden …

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

Posted by Sadhna Kashyap 8 years, 4 months ago

CBSE > Class 09 > Mathematics

2 answers

Naveen Sharma 8 years, 4 months ago

Ans. Thickness of Wooden Cylinder (t) = 2 cm

Height of Cylinder (h)= 35 cm

Inner radius (r)= 12 cm

Outer radius (R) = r + t = 12 +2 = 14 cm

Volume of Wood Required = Outer Volume of Cylinder - Inner Volume of Cylinder

=> $({\pi \times R^2 \times h } ) - ({\pi \times r^2 \times h}) = {\pi \times h (R^2 - r^2)}$

=> ${22 \over 7 }\times 35 \times ({196-144}) = {22 \over 7 }\times 35 \times52 = 5720 cm^3$

=> Volume of Wood Required = 5720 cm³

Shweta Gulati 8 years, 4 months ago

Wooden cylinder

Thickness = 2cm

Inner radius = 12cm

Outer radius = Inner radius + thickness

= 12+2 = 14cm

Height of cylinder = 35cm

Volume of wood required in making the cylinder = $V = {\pi (R^2-r^2)h }$

= [22(14²-12²) X 35 ]/7

= 5720 cm³

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