Question

An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy.(use π = \(\frac{22}7\))

Answer 1

the height of the cylinder = 10 cm, and its base is of radius = 3.5 cm

Volume of wood in the toy = volume of cylinder – 2 × volume of hemisphere 

= πr²h - 2 x \(\frac{2}3πr^3\)

= π(3.5)²(10) - 2 x \(\frac{2}3π(3.5)^3\)

= 205.33 cm³