The inner diameter of a cylindrical wooden pipe is 24cm and its outer diameter is 28cm. The length of the pipe is 35cm. Find the mass of the pipe, if 1cm³ of wood has a mass of 0.6g.
Solution:
Inner radius = 24/2 = 12cm Outer radius = 28/2 = 14cm Height = Length of pipe = 35cm Volume of pipe = π(r₂² - r₁²)h = 22/7 × (14² - 12²) × 35cm³ = 110 × 52cm³ = 5720cm³ Mass of 1cm³ wood = 0.6g Mass of 5720cm³ wood = (5720 × 0.6)g = 3432g = 3.432kg