A cylindrical water tank has an internal radius of and a height of

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A cylindrical water tank has an internal radius of

40\text{ cm}

and a height of

1.5\text{ m}

. A student writes the following working: “Volume =

\pi\times40\times40\times1.5 = 240\pi\text{ cm}^3

, so capacity =

0.24\pi

L.” (i) Point out two separate errors in the student’s working. (ii) Find the correct capacity of the tank in litres. (Take

1\text{ L}=1000\text{ cm}^3