lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball

Answers

Answer 1

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm


Related Questions

P and q are points on the line y=2-4X

Draw the line y= 2-4X for vales of x from -2 to 2

Answers

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__

Answers

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

What is a Logarithm base?

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

How do I do this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 5

Step-by-step explanation:

39° + 90° + (7x + 16)° = 180°

39 + 90 = 129

180 - 129 = 51

7x + 16 = 51

7x + 16 - 16 = 51 - 16

7x = 35

7x/7 = 35/7

x = 5

What is 123x264 answer fast

Answers

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

Joe’s Coffee is having a stained glass window installed on their front door. Approximately how much glass will be needed to create the stained glass window?
PLSS USE STEPSSS!!!!
A) 2.4
B) 9.6
C) 11
D) 38.5

Answers

Correct option :

[tex]\color{plum}\tt \: D) 38.5 [/tex]

Steps to derive correct answer :

Diameter of the stained glass window Joey needs = 3.5

Area of the window = quantity of glass Joey needs

Area of the window :

[tex] = \tt\pi {r}^{2} [/tex]

[tex] = \tt3.14 \times 3.5 \times 3.5[/tex]

[tex] =\tt 3.14 \times 12.25[/tex]

[tex] =\tt 38.46[/tex]

38.46 can be rounded off to 38.5.

Therefore, quantity of glass needed to make the stained glass window = 38.5

how to find the surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

2y - x = -8
Put it in line slope-intercept simplifying all fractions

Answers

2y-x=-8
2y=x-8
y=1/2x-4 is the slope intercept form

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

The answer is b

Step-by-step explanation:

If y is reflected it will cause both to change

Answer:

it's b

Step-by-step explanation:

its b because yeah

Writing Equations of Lines

Answers

Answer:

Please leave more information.

Step-by-step explanation:

What is the square root of X with an exponent of 7?

Answers

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.

1. Mr. Jones is correcting math test. Here are the scores for the
first fourteen tests he corrected 62, 65,93, 51, 55, 12,79,
85, 55, 72, 78, 83, 91, and 76. Which score does not seem
to fit the data? Explain how the outlier score affects the
mean and the median of the data.

Answers

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

EASY ALGEBRA! HELP PLEASEEE <3

Fill in the blank with a number to make the expression a perfect square.

v²-14v+__

(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!

Answers

v^2-14v+_49_
2v-14v+49(combine like terms)
12v+49
V=61
I hope its right

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

Answers

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

Ratio for 30 Servings

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Ratio for 90 Servings

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

someone please help!!

Answers

The answer is 430.05. The formula is r^2pi

Answer:

c. the circumference is equal to 2 * pi * 11.7

73.51

d. r= c/2pi

In AUVW, the measure of ZW=90°, VU = 65, UW = 33, and
WV = 56. What ratio represents the tangent of ZU?

Answers

Answer: 56/33

Step-by-step explanation:

It is due at 1:45 plz help

Answers

The answer is pink because the lines are parallel, parallel lines have no solution to the system.

Hope this helps :)

Which function has a domain of all real numbers?

Answers

Answer:

C

Step-by-step explanation:

This is totally wrong lol

Find the scale factor

Answers

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

6 Which expression below has a coefficient of 3?
A. 5x + 9
B. 2x-3
C. 28? + 3x – 6
gx+4
( IS IT A. B. C. or D.?)

Answers

option c is the correct cofficient of 3

Option c is the correct answer choice

Round the numbers to the nearest 1000
4682
123361
56500

Answers

Answer:

a) 5000

b) 123000

c) 57000

Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)

Answers

Answer:

if the two points are known. 4/3 or 1.333

a num

A retailer purchased a photocopy machine for Rs 1.60,000 from a dealer. Helshe

spent Rs 2,500 for transportation and Rs 1,500 for the local tax. If he/she sold it at
a profit of Rs 6,000 to a customer, how much did the customer pay for it with 13%
VAT?

b number

A supplier sold a machine levying 13% VAT on Rs 3,20,000 to a retailer. The

retailer spent Rs 10,000 for transportation and Rs 5,000 for the local tax. If the
retailer sold it at a profit of Rs 15,000 to a customer, how much did the customer
pay for the machine with 13% VAT?​

Answers

Answer:

answer is rs 192100ra 395500

Help me plssssssssssa

Answers

Answer:

D.

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Plsssssss help meeeeeeeeeeeee I need help

Answers

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3

Answers

Answer:

10

Step-by-step explanation:

Answer:

2x=10

Step-by-step explanation:

Noor, Layla, and Diego play a trivia game. Noor’s score is -2. Layla’s score is 3/4 of Noor’s score. Diego’s score is 2/3 of Layla’s score. What is Diego’s score?

Answers

Answer:

layla is savege score in mobile legends and diego's score in ml is 20

Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!

Answers

There are 16800 grams :)

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800


8,502,000,000,000
in scientific notation

Answers

Answer:

are you supposed to do math

Write a quadratic function to model the graph. Please help!!

Answers

Answer:

80 because that you need to work on

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