if a sphere has the same volume as a cube with edge length 5, estimate the radius of the sphere

Answers

Answer 1

Answer:

The radius of the sphere will be:

[tex]r=3.1[/tex] units

Step-by-step explanation:

Given that a sphere has the same volume as a cube with edge length 5.

[tex]V_c=V_s[/tex]

[tex]\:a^3=\frac{4}{3}\pi r^3[/tex]

[tex]\:r^3=\frac{3\:a^3}{4\pi }[/tex]

[tex]\:\:r=\sqrt[3]{\frac{3\:a^3}{4\pi \:}\:\:}[/tex]

substitute a = 5

[tex]r=\sqrt[3]{\frac{3\:\left(5\right)^3}{4\pi \:\:\:}\:\:}[/tex]

[tex]r=3.1[/tex] units

Therefore, the radius of the sphere will be:

[tex]r=3.1[/tex] units

Related Questions

Middleton, Colorado, hosted a youth soccer tournament. Youth soccer fields vary in size per the age of the players. The field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide. The field for the 11‐14‐year‐old players was proportionally larger. If the length of the field for the 11‐14‐year‐old players was 100 yards, what was the width?

Answers

Answer:

The correct answer is 60!

Step-by-step explanation:

Remember, 3/4 is 0.75.

75/100 = 3/4

45/60= 3/4

The equation explains that 75/100 is a fraction that it equal to 3/4, which is 0.75 as a decimal. 60 is the digit that is the denominator to 45, getting 3/4, or 0.75 also. So the width of the 11-14 year-old soccer field is 60 yards.

The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Calculation of the width:

Since we know that 75 by 100 is three-fourth

And, 45 by 60 is also  three-fourth

Also, there is field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide.

So based on this, The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Learn more about width here: https://brainly.com/question/19461476

pls help 60 POINTS ASAP

Answers

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Loading . . .

2y - 2x = 8
Equation of a line into slope-intercept form, simplifying all fractions.

Answers

y=x+4. See the attached image for more info :)
Y=x+4 :)

Add 2 with -2 itself and with 8, and you’ll have 2y = 2 + 8. Then, you divide 2y with itself and with both 2x and 8, and you’ll end with Y=x+4

is [tex]\sqrt{20.25}[/tex] rational or irrational?

Answers

Answer:

Rational

Step-by-step explanation:

Here, we want to check if the given value is rational or irrational

If a certain number is a non -perfect square, and it is placed inside the root, then it is a surd and thus termed irrational

However, the number 20.25 is a perfect square. in fact the square root is 4.5

This mean the expression is not irrational

Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ

Answers

Answer:

D

Step-by-step explanation:

Find the value of x.
3521
3x-2

Answers

Answer: 47

we have:

41° + 3x - 2 = 180°

⇔ 3x - 2 = 180 - 41

⇔ 3x - 2 = 139

⇔ 3x = 139 + 2

⇔ 3x = 141

⇔ x = 141/3

⇔ x = 47

Step-by-step explanation:

4. Find the product. 1/4 x 3/4 5. Find the product. 1/2 x 1/4

Answers

4. 3/16

5. 1/8

6. 14/70= 5

A culture started with 5,000 bacteria. After 8 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 14 hours. Round your answer to the nearest whole number.

Answers

7625 it grew 1500 in 8 hours 1500/8=187.5
187.5x6=1125+1500+the original 5000

Answer:

Step-by-step explanation:

7,913

Solve: -7 – 6 = k.
GIVING BRAINLIST!!!

Answers

Answer:

k=-13

Step-by-step explanation:

Yes it’s 13 something something

20 POINTS +BRAINLIEST IF CORRECT

Question 9(Multiple Choice Worth 1 points)
(05.02 LC)

A student wants to report on the number of movies her friends watch each week. The collected data are below:


2 14 1 2 0 1 0 2


Which measure of center is most appropriate for this situation, and what is its value?
Median; 1.5
Median; 3
Mean; 1.5
Mean; 3

Answers

Answer:

Median 1.5

Step-by-step explanation:

Answer:

Median is the most appropriate and the value is 1.5

Step-by-step explanation:

5x−4=16
what do i do

Answers

Answer:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify

Write the following least to greastest

8.75

5.75

Answers

Answer:

the last on is least and the first one is the greastest

Step-by-step explanation:

Answer:

8.75 is greater and 5.75 is less

Step-by-step explanation:

Find the zeros of 6x^2-27x

Answers

Answer:

x = 0, 9/2

Step-by-step explanation:

6x^2 - 27x = 0 (original)

3x(2x - 9) = 0 (factor out GCF of 3x)

|

v

(solve each factor (3x and 2x - 9) for x)

3x = 0

x = 0

2x - 9 = 0

2x = 9

x = 9/2

x=9/2 is correct how wisdom said

what is the y intercept and slope of this equation (will mark brainliest!!)

Answers

Answer: y-intercept is 3 1/3. slope is 7/9

Step-by-step explanation:

WHat is the solution to the system of linear equations graphed below answers 3 1/2-4

Answers

-4 their ur answer ur welcome

1) From 30 inches to 24 inches. What is the percent of change? A. Increase 20% B. Decrease 25% C. Increase 20% D. Decrease 20%​

Answers

Answer:

either d or b???

It’s clearly a decrease, since it goes form a higher number (30) to a lower one (24).
30-24 = 6
6/30 = x/100
Work:
6 x 100 = 600
600/30 = 20

So there’s a 20% decrease.

1138 in expanded form

Answers

One thousand one hundred thirty eight

Answer:

(see below)

Step-by-step explanation:

To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:

1 in expanded form is 1.

11 in expanded form is (10 + 1).

111 in expanded form is (100 + 10 + 1).

So that means that:

1138 in expanded form is (1000 + 100 + 30 + 8).

Hey MyBoyz you’ve been on my mind!

Answers

Answer:

really

Step-by-step explanation:

Which expression is equivalent to -6(3x-2/3)

Answers

Answer:

-18x + 4

Step-by-step explanation:

Somebody help ya plz

Answers

Answer:

9

Step-by-step explanation:

They're vertical angles, so they are equal:

5x + 4 = 49

subtract 4 from both sidese

5x = 45

divide both sides by 5

x = 9

Answer: x=9

Step-by-step explanation: First of all, the two shown inner angles are equivalent. This allows you to set up an equation like: (5x+4)=49

Then simply use algebra to solve...

(5x+4)=49

-4 -4 (subtract "4" from each side)

5x=45

5x/5=45/5 (divide each term in the equation by "5")

x=9

Hope this helps!

I NEED AN ANSWER ASAP GIVING 20 POINTS FOR IT!!

The side lengths of Cube 1 are ⅔ inch. The side lengths of Cube 2 are 2 inches. What is the answer? Image Attached.

Answers

Answer:

8 cubes

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base

Step-by-step explanation:

(2 x 1016) + (7 x 1016)

Answers

Answer:

9144

Step-by-step explanation:

2 x 1016 = 2032

7 x 1016 = 7112

2031 + 7112 = 9144

Answer:

9144

Step-by-step explanation:

usa una calculadora

Liam invested $1,200 in an account paying an interest rate of 8,75% % compounded monthly. Camila invested $1,200 in an
account paying an interest rate of 9.25% % compounded continuously. After 16 years, how much more money would Camila
have in his account than Liam, to the nearest dollar?

Answers

2102.53 welcome hope that help

Solve the equation 3(x−4)=12x .

Answers

Answer:

x = -4 / 3

Step-by-step explanation:

Answe 4/3

Step-by-step explanation:

If a square shaped napkin had a side length of 9 inches what is the area of the Napkin?

Answers

Answer:

81

Step-by-step explanation:

its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81

2 sin x + V3 = 0
i need help answering this

Answers

Answer:

2 sin x + √3 = 0

2sinx=-√3

sinx=-√3/2

x=sin-¹(-√3/2)(sin-¹ means inverse of sin)

x=-60

A train traveled 162 miles in 3 hours. At the rate, how many miles will the train travel in 1/3 hour?
A.36mi
B.18mi
C.27mi
D.54mi

Answers

Answer:

B. 18 (approximately)

Step-by-step explanation:

54 * 1/3 =

54 = total miles traveled (per hour)

1/3 = hours traveled

The answer should be 18mi

A baker used 25% of the eggs that were bought to make cakes. If 60 eggs were used, what was the total
number of eggs that were bought?

Answers

240 eggs were bought. A trick you can do when it’s 25% is 4. So for this I multiplied 60 by 4 which would give the 100%

PLEASE I NEED THIS TODAY!!!!

Answers

Answer:

1/64 c

Step-by-step explanation:

.

Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Phillip estimate the tip on a $36.00 bill correctly?

A. $3.60+ $3.60 = $7.20

B. $3.60+ 1.80 =$5.40

C. $3.60+ $0.36 = $3.96

D. $1.80+ $1.80= $3.60

Answers

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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