Mathematics

Problem

A right circular cylinder has total surface area

748\,\text{cm}^2

and height

10\,\text{cm}

. Answer the following: a. (i) State the expression for the total surface area of a right circular cylinder in terms of its radius

r

and height

h

. b. (ii) Using the given data, calculate the radius of the cylinder’s base, taking

\pi=\dfrac{22}{7}

. c. (iii) Find the volume of the cylinder correct to the nearest cubic centimetre.