A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the volume of the key?


Options:

The volume is about 4.24 cm^3.

The volume is about 3.72 cm^3.

The volume is about 2.96 cm^3.

The volume is about 1.41 cm^3.

Answers

Answer 1

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter[tex]d= 3-cm[/tex]

Radius [tex]r=d/2=>1.5cm[/tex]

Height risen[tex]14.6-14=0.6cm[/tex]

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

[tex]V=\pir^2h[/tex]

Therefore

[tex]V=\pi*1.5^2*0.6[/tex]

[tex]V=4.2417\\\\V=4.24 cm^3[/tex]

Correct Option A

The volume is about 4.24 cm^3.


Related Questions

Which pairs of angles in the figure below are vertical angles?
Check all that apply

Answers

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?

Answers

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

PLEASE SOMEONE HELP ME FIGURE OUT THESE 4 Ill give you brainiest!

Answers

Answer: 5. 83 1/3*pi, or 261.8 (approx.) 6. 2*pi, or 6.28 (approx.) 7. 42 2/3*pi or 134.04 (approx.) 8. 144*pi or 452.39 (approx.)

Step-by-step explanation:

Volume of a circular cone : pi*r^2*h/3

I applied the formula to find these answers

what is the lcm of 8 27 72​

Answers

Answer:

216

Step-by-step explanation:

Answer:

In common notation: lcm (27,72) = 216

36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?

Answers

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Which statement about correlation and causation is true?

1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.

Answers

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation:

how do we prove that a line is a tangent of a circle ​

Answers

Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

Why does that formula make sense?

Answers

According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

If helped mark me the brainiest!!

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

As apart of her physical fitness training, Kaylee cycled at 30km/h and then jogged at 8 km/h. She spent 2 hours working out and covered a distance of 49 km. How long did Kaylee spend at each activity?

Answers

Answer:

for cycling, time is 1.5 hours

for hogging time is 0.5 hour.

Step-by-step explanation:

speed of cycling = 30 km/h

speed of jogging = 8 km/h

total time  = 2 hrs

total distance, D = 49 km

Let the time for cycling is t, so that time time for jogging is 2 - t .  

distance = speed x time

49 = 30 x t + 8 (2 - t)

49 = 30 t + 16 - 8 t

33 = 22 t

t = 1.5 hour

So, time for cycling is 1.5 hours and time for jogging s 0.5 hr.


4. Three hoses are connected end to end. The first hose is
6.25 feet. The second hose is 6.5 feet. If the length of
all 3 hoses when connected is 20 feet, how long is the
third hose?

Answers

Answer:7.25 feet

Step-by-step explanation:

6.25+6.5=12.75

20-12.75=7.25

-3 (7x + 7) = -38 - 4x

Answers

Answer:

x = 1

Step-by-step explanation:

-3 (7x + 7) = -38 - 4x

-3(7x)-3(7) = -38 - 4x

-21x - 21 = -38 - 4x

-21x+4x = -38+21

-17x = -17

x = -17/-17

x = 1

Answer:

x = 1.

Step-by-step explanation:

-3(7x + 7) = -38 - 4x

Use distributive property to get:

-21x - 21 = -38 - 4x

Add 4x to both sides to get:

- 17x - 21 = -38

Add 21 to both sides to get:

- 17x = -17

x = 1.

I hope this helps, have a nice day.

help me solve for x.

Answers

Answers : x= 15 i took a test and got it right

12. Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number. *

Answers

The answer of the question is 5

If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?

(A) 0
(B) 2
(C) 3
(D) 4
(E) 7

Answers

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's ​

Answers

Answer:

end behavior

Step-by-step explanation:

tan145+tan85/1-tan145*tan85 as asingle funciton

Answers

Answer:

Step-by-step explanation:

Tan 145 = - 0.7002

Tan 85 = 11.43

Tan 145 + tan 85 =  10.7298

1 - tan(145)* tan(85) = 9.003

(Tan(145) + Tan(85)) / (9.003)

= 10.73 / 9.003

= 1.1918

I misread the question. If you mean

(Tan145+tan85) /1-tan145*tan85   (brackets are really important here)

then the answer is

Tan(145 + 85)

= Tan(230)

= 1.1918

PLEASE HELP ANGLE OF A TRIANGLE

Answers

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Pls help me with this one if: 1 1/2+ 2 3/4+ 3 2/5=6+10/20+15/20+8/20=6 33/20=7 13/20 then what is 2 1/2+1 3/4+3 2/3=?? It's adding and subtracting mixed numbers by the way​

Answers

Answer:

7 11/12

Step-by-step Explanation:

2 1/2 = 2 2/4

2 2/4 + 1 3/4 = 3 5/4 = 4 1/4

4 1/4 = 4 3/12

3 2/3 = 3 8/12

4 3/12 + 3 8/12 = 7 11/12

4+(-7)-(-3) What will be the answer ?

Answers

=0 just need points tho lol

Q. If 5 (3x-1) =40, then x = *
a-3
b-9

Answers

Answer: 3

Step-by-step explanation:

Distribute the 5: 15x-5=40

Add 5 from both sides: 15x=45

Divide 15 by both sides: 3

Answer:

a-3

Step-by-step explanation:

5(3x-1)=40

15x-5=40

15x=40+5

15x=45

x=45/15

x=3

The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points

(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!

Answers

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

The answer is a. 3m

Explanation: because I know its right

Patty measured the elementary school and made a scale drawing. The scale she used was 7 centimeters = 1 meter
What is the drawing's scale factor?

Simplify your answer and write it as a ratio, using a colon.​

Answers

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

Answers

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Please help I’ll give brainliest

Answers

Answer:

23

Step-by-step explanation:

I DID 7*3+2 & GOT 23

What is the slope of the line? Khan academy

Answers

2/1. Move 2 spaces up. 1 right

Please help me only serious answers ☺️

Answers

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

= 60.5 feet2

60.5 cm²
yes it should be 60.5 since your base is 11 and your height is 5.5 so you multiply both, and you get 60.5, A=60.5

Evaluate the expression c5 when c = 3.

Answers

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

describe how the graph of each function is related to the graph of f(x)=x^2
g(x)= -10 + x^2

Answers

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Please help thank you!

Answers

The answer to the problem is 10
The answer is because 3x3x3 =27 then divide by -9 is -3 + 13 is 10
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