Question

 An expandable cone-shaped funnel consists of two sections as shown.

Answer 1

The bottom section of the funnel is in the shape of cone with radius = 6 cm and height = 8 cm

The volume of a cone is given by $\frac{1}{3} \pi r^{2} h$
$V= \frac{1}{3} \pi ( 3^{2} )(8)=24\pi$

The volume of the top part of the cone, called frustum, is the volume of big cone subtract volume of smaller cone

Volume of big cone =  $\frac{1}{3} \pi ( 6^{2} )(16)=192 \pi$

Volume of frustum = $192 \pi -24 \pi =168 \pi$

We can leave the answer as an exact answer ($168 \pi$) or as decimal (527.79 rounded to two decimal places)