An 6 inch tall can of soda can hold 150π cubic cm. What is the radius of the top?

Answers

Answer 1

9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  [tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]


Related Questions

(88÷1×2×5−9)+3×8 what does this make

Answers

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor

Answers

Answer:

the other factors are: (x+3) and (2x−3)

Step-by-step explanation:

Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

Factor the binomial completely. x2−81

Answers

Answer:

(x - 9)(x + 9)

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), then

x² - 81

= x² - 9²

= (x - 9)(x + 9)

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Answers

Answer:

Andre and 6 weeks

Step-by-step explanation:

because,20x4+10=90 and 5x4+100=

Solve for p. 3(p+4) = 36

Answers

Answer:

3p + 12 = 36

3p = 36 - 12

3p = 24

p=8

Answer:

 p = 8

Step-by-step explanation:

3( p + 4) = 36

3p + 12 = 36

     - 12    - 12

3p = 24

_______

     3

 p = 8

Hope this helps!

HELP PLEASEEE!!!!!!!

Answers

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

What is the length of an arc that subtends an angle of 60° at the centre of radius ½m?

a) 0.5238 b) 0.53
c) 0.357 d) 0.25

Pls help!!!!!​

Answers

C = pi x d = 1 x pi = pi

360/60 = 6

So length of arc = 1/6 of pi = 0.52m (2 do)

Question is in picture below

Answers

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

Complete the statement. Round to the nearest hundredth if necessary.

4 ft = ?m

Answers

Answer:

1.2192

Step-by-step explanation:

There are 1.22 meters in 4 feet.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

We have,

1 meter = 3.28 feet

1 ft = 0.3048 m

Multiply 4 on both sides.

4 ft = 4 x 0.3048 m

4 ft = 1.2192 m

Rounding to the nearest hundredth.

4 ft = 1.22 m

Thus,

4 feet is equal to 1.22 meters.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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What's the value of the expression 10/12 + (- 8/9)

Answers

Answer: -1/18 im pretty sure

Step-by-step explanation: Find the exact value using trigonometric identities.

Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.

Form: Ax+By=C

Answers

Answer:

THE ANSWER IS 44!

Step-by-step explanation:

A ​$310 suit is marked down by 20​%. Find the sale price.

Answers

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be

Answers

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

What would you call the shape of this formula (C3H8)

Answers

An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
(with the working pls )

Answers

Answer:

2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many

3 divided by 80 and then multiply by 100 to get a percentage, so:
3.75%

Need help asap Pleaseee

Answers

Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

How is the general shape of a cube root function different from the shape of a square root function?

Answers

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

brainly.com/question/12431044

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Round off 3.447 g to the nearest 1/100 g
pls help

Answers

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

xxsaaaaaaaaaaaaaaaaaaaaaaa

Answers

yes aaaaaaaaaaaaaaaxxs

i just what some special person who gets this to have a good day stay safe god bless

Answers

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches. What is the amount of the error?

Answers

Answer:

Error = 1.167 feet

Percentage error = 0.3242%

Step-by-step explanation:

The original length of the soccer field = 120 yards long

Converting to feet

1 yard = 3 feet

120 yards = x

Cross Multiply

x = 120 × 3 feet

x = 360 feet

Measured length:

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

We convert 10 inches to feet

1 inch = 0.0833 feet

10 inches = x feet

Cross Multiply

x = 10 × 0.0833 feet

x = 0.833 feet

The measured length = 358 feet + 0.833 feet

= 358.833 feet

The Error is calculated as:

|Measured length - Original Length)

= 360 feet - 358.833 feet

= 1.167 feet

Percentage Error

= Error/Original Length × 100

= 1.167/360 × 100

= 0.3241666667%

Approximately = 0.3242%

Write the ratio in simplest form.



The ratio of green beads to blue beads is ???

Answers

3:6 but if u simplify it it will become

1:2

Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B

Answers

Answer:

angle B, angle A, angle C

Step-by-step explanation:

Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300

Answers

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10

Which of the following rational functions is graphed below?

Answers

Answer:

there is no attached file

Step-by-step explanation:

Heba's account balance is $29.17. Nour's account balance is $11.99

Which account matches each description?

Answers

Answer:

Heba has a greater balance and Nour has more debt

pls help! correct answer will get brainliest :)

Answers

Answer:

x = 31°

Step-by-step explanation:

triangle = 180°

-there is a right angle

180-90 = 90

90-59= 31

31+90+59 = 180

Answer:

[tex]x=31^{\circ},\\y=5[/tex]

Step-by-step explanation:

Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].

From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:

[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].

Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

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