A cylindrical container

MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A cylindrical container, open at the top, has an internal radius of

7.2\,\text{cm}

and height

25\,\text{cm}

. The inner and outer curved surfaces are to be painted with enamel paint. One millilitre of this paint covers

200\,\text{cm}^2

of surface uniformly. Calculate the total curved surface area that must be painted, determine the volume of paint required, and state whether

40\,\text{mL}

of paint will be sufficient. Show all working and give your answer for area correct to the nearest square centimetre.