Find the volume of the of the shaded area for the solid below.

Step-by-step explanation:

Rectangular Prism Volume = lwh

20x16x16 = 5120 in^3

Volume of Cylinder = V=πr^2h

π(5)^2(20)

= 1570.8

Volume of Shaded Area = Volume of rectangular prism - volume of cylinder

= 3549.2 in^3

answered by g a u t h m a t h

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled