a hollow pipe is 21 cm long. it's inner and outer diameters are 6cm and 10 cm respectively. find the volume of the metal used in making the pipe.
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Step-by-step explanation:
The volume of the used metal 1056 cm³
Given data :
Outer diameter = 10 cm
Inner diameter = 6 cm
Height = 21 cm
So,the outer radius = 10/2 = 5 cm
Inner radius = 6/2 = 3 cm
So, hollow space volume = π ×(3)²×21 = 22/7×9×21 = 594 cm³
So, total volume = π × (5)² × 21 = 22/7 × 25 × 21 = 1650 cm³
Metal volume = (1650-594) = 1056 cm³
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