A right circular cylindrical tank has a curved surface area of and a volume of

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A right circular cylindrical tank has a curved surface area of

704\pi\,\text{cm}^2

and a volume of

1760\pi\,\text{cm}^3

. (a) Write the two equations that relate the height

h

and radius

r

of the tank to these measurements. (b) Solve the simultaneous equations to determine the values of

r

and

h

. (c) How many litres of water can the tank hold when completely full? (Take

1\,\text{litre} = 1000\,\text{cm}^3