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Polynomials and Rational Functions · Paper 2 — Free Maths AA SL Practice Questions

1MasterySAQ-SRational expressions and their simplifications6 marksPaper 2~9 min

A company manufactures cylindrical containers. The volume

V

, in

\text{cm}^3

, of a container with radius

x\,\text{cm}

(

x > 0

) is given by

V = \frac{2\pi x^3 + 4\pi x^2}{x + 2}.

(a)

State the domain of

V

in the context of this problem. [1 mark]

(b)

Show that

V = 2\pi x^2

. [2 marks]

(c)

Hence, determine the radius

x

when

V = 72\pi\,\text{cm}^3

. Give your answer in exact form. [3 marks]

Solutions

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