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Ronch [10]
2 years ago
13

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w

ithin the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. (1 point) 1,162π in3 1,179π in3 1,215π in3 1,251π in3
Mathematics
1 answer:
evablogger [386]2 years ago
7 0

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.  

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball =  (4/3)π(3 in)³

                                = 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³  

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

#SPJ1

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Step-by-step explanation:

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Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

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Combine like terms: 0 + -8 = -8

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Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

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Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

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The top angle is 45 - 15 = 30

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One final observation The top angle of made by the line going through x is 180 - 25 = 155

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