Respuesta :

Answer:

see explanation

Step-by-step explanation:

The volume (V) of wood used is calculated as

V = volume of cone - volume of cylinder

V = [tex]\frac{1}{3} [/tex] πr²h - πr²h

diameter of cone = 12, so radius = 12 ÷ 2 = 6

V = [tex]\frac{1}{3} [/tex] π × 6² × 14 - π × 4² × 3

   = [tex]\frac{1}{3} [/tex] π × 36 × 14 - π × 16 × 3

   = π × 12 × 14 - 48π

   = 168π - 48π

   = 120π cm³

profereyes12122

Answer:

Cone volume:

[tex]v=\frac{1}{3} \pi r^{2} h=\frac{1}{3} \pi (\frac{12}{2})^{2} (14)=168\pi [/tex]

Cylinder volume:

[tex]v=\pi r^{2} h=\pi (4)^{2} (3)=48\pi [/tex]

Volume of wood:

[tex]V=v(cone)-v(cylinder)=168\pi -48\pi =120\pi cm^{3} [/tex]

Hope this helps

Otras preguntas