A wooden cube of side 20 cm has a cylindrical hole of radius 4 cm drilled straight…
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A wooden cube of side 20 cm has a cylindrical hole of radius 4 cm drilled straight through its centre so that the axis of the cylinder is perpendicular to two opposite faces and passes through the centre of the cube.
(i) Find the volume of wood removed by drilling the hole.
(ii) Determine the volume of the remaining solid wood.
(iii) Calculate the curved surface area of the cylindrical hole. Give all answers correct to the nearest whole number.