Atank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. the tank is full of water. we pump out water (to a pipe at the top of the tank) until the water level is 5 feet from the bottom. the work w required to do this is given by w= ? foot-pounds

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius =  4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out =

Here we have r/h is constant always

Hence

Substitute to get volume of water pumped out =

Mass of water = density x volume =

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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