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2 years ago

The formula for the volume of a sphere is V=4/3pir^3. What is the formula solved for r

Mathematics

2 answers:

tigry1 [53]2 years ago

5 0

Answer:

r = $(3V/4pi)^(1/3)$

Step-by-step explanation:

Given that:

V = 4/3 pi r^3

We have to solve for r So,

Multiplying both sides by 3/4 we get:

3/4 V = 4/3 * 3/4 pi r^3

3/4 V = pi r^3

Dividing both sides by pi we get

3/4 * V/pi = r^3

Now taking under root 3 on both sides we will get value of r as:

r = $(3V/4pi)^(1/3)$

I hope it will help you!

harkovskaia [24]2 years ago

4 0

Answer:

Step-by-step explanation:

V = 4/3πr³

4/3πr³ = V

4πr³ = V * 3

r³ = 3V / 4π

r =∛3V / 4π

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In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles T

dybincka [34]

Answer:

a) percentage of respondents that favored neither Obama nor Romney in terms of likeability = 7%

b) For a given survey of 500, the number of respondents that favored Obama than Romney is 145.

Step-by-step explanation:

Given that none of those surveyed can favour the two candidates at the same time,

n(Universal set) = n(U) = 100%

n(Obama) = n(O) = 61%

n(Romney) = n(R) = 32%

n(That favour Obama and Romney) = n(O n R) = 0%

To calculate for the number that favour neither of the candidates

n(O' n R')

n(U) = n(O) + n(R) + n(O n R) + n(O' n R')

100 = 61 + 32 + 0 + n(O' n R')

n(O' n R') = 100 - 93 = 7%

b) For a given survey of 500, how many more respondents favored Obama than Romney?

Number of those surveyed that favour Obama = 61% of 500 = 305

Number of those surveyed that favour Romney = 32% of 500 = 160

Difference = 305 - 160 = 145

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2 years ago

381.10-214.43 equals

dmitriy555 [2]

Answer:

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Step-by-step explanation:

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5 pies were shared equally among 6 girls. What fraction of a pie did each girl receive? Explain.

kompoz [17]

Answer:

Step-by-step explanation:

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1 year ago

A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?

Anon25 [30]

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

$f(x)=x^{2}+8x+b$

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

$0=(-3)^{2}+8(-3)+b$

$0=9-24+b$

$0=-15+b$

$b=15$

$f(x)=x^{2}+8x+15$

Verify with the other intercept

For x=-5

$0=(-5)^{2}+8(-5)+15$

$0=25-40+15$

$0=0$ ---> is true

therefore

The constant term in the function is 5

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2 years ago