Answer: D)
Step-by-step explanation:
The volume of a rectangular prism is given by :_
Given: Length of the rectangular prism =
Width =
Height =
Then, the volume of a rectangular prism will be :-
Evaluate the expression when x = 3. 2x2 - 5
1 answer:
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The Work required to pump water out of the spout would be equal to 464,062.5 π
<h3>How can we calculate the work done?</h3>Given data :
3 ft, 4 ft, 5 ft A right triangular prism tank with a spout is given.
weight of water = 62.5 Ib/ft³
inner radius ( r ) = 3 x 2 =6 ft
Outer radius ( R ) = 3 x 4 = 12 ft
Height ( h ) = 3 x 5 = 15 ft
To determine the work required to pump water out of the spout
y = Vertical distance
dv = cross-section volume
dw = weight
The radius of the tank
Radius = ( r - R ) y/h + R
Radius = ( 6 - 12 ) y/15 + 12
So, Radius = 12 - 0.4y
dv ( cross section volume )
Weight of cross-section ( dw ) = 62.5 ( 12.5 - 0.4y )² π dy
The work done to pump water out of the spout will be
Work done = ∫¹⁵₀ 62.5 ( 12.5 - 0.4y )² π dy
∴ Work done ( W ) = 464,062.5
Hence we can conclude that the Work required to pump water out of the spout would be 464,062.5 π
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The first problem’s answer is true. (P.S. If you don’t understand this type of problems then plug in variables for them. It helps check your answer and solve them too.)
The second problem’s answer is false.
First of all, I plugged in for the variable a to be 6 for the first problem. Second, I plugged in numbers for the variables and x was 5 and x was 2 for the second problem. You can check the steps in the image I took. (P.S. You can use the MathPapa calculator online to solve these problems and plug in the variables.)
(I couldn’t upload the second problem’s step by step sorry, but if you need it then just use the MathPapa calculator by plugging in numbers for the variables.)
The second problem’s answer is false.
First of all, I plugged in for the variable a to be 6 for the first problem. Second, I plugged in numbers for the variables and x was 5 and x was 2 for the second problem. You can check the steps in the image I took. (P.S. You can use the MathPapa calculator online to solve these problems and plug in the variables.)
(I couldn’t upload the second problem’s step by step sorry, but if you need it then just use the MathPapa calculator by plugging in numbers for the variables.)