contestada

 An expandable cone-shaped funnel consists of two sections as shown.
(a) What is the volume of the bottom section?
(b) What is the volume of the top section?


An expandable coneshaped funnel consists of two sections as shown a What is the volume of the bottom section b What is the volume of the top section class=

Respuesta :

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 [tex] \frac{1}{3} \pi r^{2} h[/tex]
[tex]V= \frac{1}{3} \pi ( 3^{2} )(8)=24\pi [/tex]

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 =  [tex] \frac{1}{3} \pi ( 6^{2} )(16)=192 \pi [/tex]

Volume of frustum = [tex]192 \pi -24 \pi =168 \pi [/tex]

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

Answer:

Step-by-step explanation:

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 [tex]\frac{1}{3} \pi r^{2} h\\[/tex]

[tex]v=\frac{1}{3} \pi (3^{2})(8)=24 \pi[/tex]

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 =  [tex]\frac{1}{3}\pi(3^{2})(16)=192\pi[/tex]

Volume of frustum = [tex]192\pi-24\pi=168\pi[/tex]

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