Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of 5 feet. a. what is the volume of your friend's swimming pool? b. your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. what is the height of your pool? round your answer to the nearest whole number. c. while you were on vacation, 6 inches of water evaporated from your pool. about how many gallons of water evaporated from your pool? ( ) 3 1 ft 7.5 gal ? round your answer to the nearest whole number.

Part a)

Part b)

Part c)

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

substitute the values

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

we have

----> the radius is half the diameter

substitute and solve for h

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

so

Find the volume of water  for

so

the volume of water evaporated is equal to

convert to gallons

remember that

so

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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