Question

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

Answer 1

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Answer 2

Answer:

Required Volume of the wood (V) = 5720 cm³

Step-by-step explanation:

Dimensions of the Hollow wooden cylinder:

Thickness (w)=2 cm

Height (h)=35 cm

Inner radius (r)= 12 cm

Outer radius (R)= r+w

= 12cm + 2cm

= 14 cm

Volume of the wood required to make the cylinder =$\pi R^{2} h - \pi r^{2} h$

$=\pi h (R^{2}-r^{2})\\=\pi h(R+r)(R-r)\\=\frac{22}{7}\times 35 \times (14+12)(14-12)\\=22\times 5 \times 26\times 2\\=5720 cm^{3}$

Therefore,

Required Volume of the wood (V) = 5720 cm³

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