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ikadub [295]
3 years ago
7

Determine the volume of a cylindrical bucket if the diameter is 8.5 in. and the height is 11.5 in.

Mathematics
1 answer:
rewona [7]3 years ago
7 0
The volume of the cylinder is πr2h
So we have ,
Height:11.5in
Diameter:8.5in
Radius=8.5/2
Now from the above information,
Volume = πr2h
= 22/7x8.5/2x8.5/2x11.5
Cancelling 2and 22 ,we get,
=11/7x8.5x4.25x11.5 (as we divided 8.5/2)
=1.57x8.5x4.25x11.5
=652.2in3
HOPE IT WAS HELPFUL :)
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A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
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 5. And the length is:

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Step-by-step explanation:

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Solve the system of linear equations.
icang [17]

Answer: The set does not have a solution

Step-by-step explanation:

Adding Equations 1 & 3 we get 5x = 7. This gives x = 7/5

Putting this value of x in eq. 2 we get

-2y + 2z = -1-(7/5) or

2y - 2z = 12/5  or  5y - 5z = 6

Multiplying eq. 1 by 2  we get  

4x + 2y - 2z = 6

adding this with eq. 2 we get 5x = 5 or x = 1

As the common solution for x from equations 1&3 does not satisfy eq. 1&2 it comes out that the three equations do not have a common solution.

Same can be verified by using different sets of two equations also.

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