I’m struggling so much please help

see explanation

Step-by-step explanation:

The volume (V) of wood used is calculated as

V = volume of cone - volume of cylinder

V = πr²h - πr²h

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

V = π × 6² × 14 - π × 4² × 3

   = π × 36 × 14 - π × 16 × 3

   = π × 12 × 14 - 48π

   = 168π - 48π

   = 120π cm³

Cone volume:

Cylinder volume:

Volume of wood:

Hope this helps

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204