A cube of side has a cylindrical hole of radius drilled straight through its centre…

MATHEMATICS · Single correct · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A cube of side

14\,\text{cm}

has a cylindrical hole of radius

3.5\,\text{cm}

drilled straight through its centre and perpendicular to one face. Find, to the nearest cubic centimetre, the volume of the remaining solid. (a)

2\,573\,\text{cm}^3

(b)

2\,205\,\text{cm}^3

(c)

2\,475\,\text{cm}^3

(d)

2\,744\,\text{cm}^3