Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate
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Answer:
The closest to the volume of cylinder is <u>63 in.³</u>.
Step-by-step explanation:
Given:
Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.
Now, to find the volume.
As circumference is given we get the radius by putting formula:
Circumference = 8 1/2 inches = 17/2 inches.
Let the radius be
<em>Taking the value of π = 3.14.</em>
<em>Dividing both sides by 6.28 we get:</em>
So, radius = 1.35 inches.
Height = 11 inches.
Now, putting the formula to get the volume:
<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>
Therefore, the closest to the volume of cylinder is 63 in.³.
There are 80 nickels and 120 dimes and 300 quarters in piggy bank
<em><u>Solution:</u></em>
Given that,
For every 2 nickels there are 3 dimes ,
So, ratio of nickel to dime will be 2 : 3
Also for every 2 dimes there are 5 quarters
So, ratio of dime to quarters is 2 : 5
Let us first find the ratio of nickles to dimes to quarters
nickel : dime = 2 : 3
dime : quarters = 2 : 5
So,
Thus nickel : dime : quarters = 4 : 6 : 15
Now, let the number of nickel be 4x
Let the number of dimes be 6x
Let the number of quarters be 15x
From given question,
There are 500 coins in all.
number of nickel + number of dimes + number of quarters = 500
4x + 6x + 15x = 500
25x = 500
x = 20
Thus,
number of nickel = 4x = 4(20) = 80
number of dimes = 6x = 6(20) = 120
number of quarters = 15x = 15(20) = 300
Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank