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Vesna [10]
3 years ago
10

Daniel hiked 4 5/8 miles on Saturday and 4 1/2 miles on Sunday. How many miles did he hike in all?

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Answer:

He hiked 9 1/8 miles

Step-by-step explanation:

First make the fractions like terms

Multiply 4 1/2 by 4/4 to get 4 4/8

Then add the fractions to get 9/8

9/8 is an improper fraction, make it 1 1/8

then add all the whole numbers 4+4+1=9

add the fraction 1/8 to 9= 9 1/8

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evablogger [386]

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

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2 years ago
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Step-by-step explanation:

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