Calculate OV, the height of the cone.

Calculate the volume of wood used to make the toy.

$\tan 27.9^\circ  = \frac{9}{{{\text{OV}}}}$     (M1)

Note: Award (M1) for correct substitution in trig formula.

${\text{OV}} = 17.0\left( {{\text{cm}}} \right)\left( {16.9980 \ldots } \right)$     (A1)     (C2)

[2 marks]

$\frac{{\pi {{(9)}^2}(16.9980 \ldots )}}{3} + \frac{1}{2} \times \frac{{4\pi {{(9)}^3}}}{3}$     (M1)(M1)(M1)

Note: Award (M1) for correctly substituted volume of the cone, (M1) for correctly substituted volume of a sphere divided by two (hemisphere), (M1) for adding the correctly substituted volume of the cone to either a correctly substituted sphere or hemisphere.

$= 2970{\text{ c}}{{\text{m}}^3}{\text{ (2968.63}} \ldots {\text{)}}$     (A1)(ft)     (C4)

Note: The answer is $2970{\text{ c}}{{\text{m}}^3}$, the units are required.

[4 marks]