A cylinder is full at 471 cm3 and has a radius of 5 cm. It currently contains 314 cm3 of water. What will the difference in the height of the water be when the cylinder is full? Use 3.14 to approximate pi.

Answers

Answer 1
Answer: Volume of a cylinder = π r² h

fully filled w/ water:
471 cm³ = 3.14 * (5cm)² * h
471 cm³ = 3.14 * 25cm² * h
471 cm³ = 78.5 cm² * h
471 cm³ / 78.5 cm² = h
6 cm = h  

partially filled with water
314 cm³ = 78.5cm² * h
314 cm³ / 78.5 cm² = h
4 cm = h

6 cm - 4 cm = 2 cm the difference in the height of the water.

Related Questions

What is 5/20 in simplest form?
How many solutions does the equation have?a+5=1/5(15+5a)A. one solution B. infinite solutions C. no solution
Describe how to write 3,482,000,000 in scientific notation
A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?
James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection? A. 1 : 2 B. 2 : 1 C. 3 : 2 D. 2 : 3

38" points please help1.-the top students in a distance throwing competition are shown in the table. How many yards did the winner of the competition throw the ball?

STUDENTS...................................DISTANCE
-Ashley..................................................162
-Craig.....................................................156
-Fernando.............................................175
-Robert...................................................166

(A) 58 1/3 yards
(B) 52 yards
(C) 468 yards
(D) 525 yards




2.-which property is represented by the equation below?

2/3 * 3/2 = 1

(A) commutative property of multiplication
(B) distributive property
(C) multiplicative identify property
(D) multiplicative inverse property




3.-in a machine ,a large gear completes a revolution every minute while a small gear completes a revolution every 24 seconds. If the gears are currently aligned, how much time will pass before they are aligned again?

(A) 1 minute
(B) 2 minutes
(C) 24 seconds
(D) 12 seconds




4.-use the ratio tables given to solve each problem.
Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes?

Number of miles.......4.5 __ __ __ ?
Time (min)................... 15 __ __ __ 75

(A) 13.5
(B) 9
(C) 27
(D) 22.5




5.- Alex runs on the track at the school each weekday morning. If he runs 5.9 miles each day, about how much does he run every month?

(A) 108 miles
(B) 30 miles
(C) 42 miles
(D) 120 miles

Answers

1. The question is incomplete

2. Answer=D

3. Answer=B

LCM of 24 and 60=120

120seconds=2minutes

4. Answer=D

 4.5 miles        x miles
_________= _________
  15 mins       75 minutes

cross multiply
15x=337.5
divide both sides by 15
x=22.5

5. Honestly, the number of weekdays per month varies... 

Define perpendicular bisector as much as you can plus give example about them

Answers

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (the figure below). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

What is 2/3 divided by 1/2

Answers

If you would like to divide 2/3 by 1/2, you can do this using the following step:

2/3 / 1/2 = 2/3 * 2/1 = 4/3 = 1 1/3

The correct result would be 1 1/3.
2/3 divided by 1/2 is 1 1/3.

What is the coefficient of the fifth term in (a+b)^9

Answers

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of (a+b)^(9), what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

(a+b)^(9) = a^(9) + 9a^(8)b + 36a^(7) b^(2) + 84a^(6)b^(3) + 126a^(5)b^(4) + 126a^(4) b^(5) + 84a^(3) b^(6) + 36a^(2) b^(7) + 9ab^(8) + b^(9)

So, from this expansion, the fifth term is 126a^(5)b^(4). And its coefficient is 126.

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

Brandon earns $6 for every shirt he sells. Which equation could Brandon used to determine the amount of money he earns (E) for any number of shirts (s) he sells

Answers

Simple,

since he has no money to begin with just write your equation..

E=6s

Which  basically means, if he sells 1 shirt:

E=6(1)
E=$6

If he sells 2 shirts:

E=6(2)
E=$12

And so on and so forth, thus, your equation is E=6s.

Answer:

C)E = 6's

Step-by-step explanation:

7.Sandy has a total of 35 coins in her money jar. If Sandy's jar contains only nickels and dimes and the value of all the coins is $2.50, how many nickels does Sandy have? A. 5 B. 15 C. 20 D. 30

Answers

Answer: 35

Step-by-step explanation:

Let the number of nickels be x

Then the number of dimes, using

ONE PART = TOTAL MINUS OTHER PART,

is 35-x. ( hope this helps have a good day/night :)  )