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प्रश्न
A metallic hollow cylindrical pipe has outer and inner radii as 6 cm and 4 cm respectively. Find the volume of the metal used in the pipe of length of 14 cm.
उत्तर
Given, the pipe is in the shape of a hollow cylinder. Volume of a hollow cylinder of outer radius (R) and inner radius (r) with height (h).
= π(R2 – r2) × h
Given, outer radius, R = 6 cm
inner radius, r = 4 cm
And height, h = 14 cm
∴ Volume of hollow pipe = π(62 – 42) × 14
= `22/7 xx (36 - 16) xx 14`
= 22 × 20 × 2
= 880 cm3
Hence, volume of metal used in the pipe is 880 cm3.
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