Question

plywood glue is stored in a tank has he shape shown. How many cubic feet of glue will this tank hold?

Answer 1

question is not clear

Answer 2

what is the shape?

Answer 3

... shape shown? The volume depends entirely on the shape. If it's rectangular then the volume is simply: \[V = lwh\] (in cubic feet, where l = length, w = width, h = height). If it's cubic and all sides are the same then: \[V = l{^3}\] (where l is any side length). If it's a round take, then it's the product of the area of the bottom and the tank's height, or:
\[V = \pi r{^2}h\]

Answer 4

Sorry I am going to draw right now

Answer 5

Ah I see. So you need to combine the volume of the cylindrical part of the tank with the volume of the cone on the top.

Volume of cylinder: \[V = \pi r{^2}h\]Volume of cone: \[V = (1/3) \pi r{^2}h\]
So... \[V = \pi4{^2}6 + (1/3)\pi 4{^2}4\]\[=(\pi \times 16 \times 6) + ((1/3)\times \pi \times 16 \times 4)\]\[=96\pi + (1/3)64\pi\]

Make sense?

Answer 6

got it Thanks