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Advocard [28]
3 years ago
14

What is the approximate diameter of a sphere with a volume of 34 cm

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

<h3>The diameter is 4cm</h3>

Step-by-step explanation:

Volume of a sphere is

V =  \frac{4}{3} \pi {r}^{3}

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

34 =  \frac{4}{3} \pi {r}^{3}  \\  \\ 34 \times 3 = 4\pi {r}^{3}  \\  \\ 102 = 4\pi {r}^{3}  \\  {r}^{3}   = \frac{102}{4} \pi \\  \\ r =  \sqrt[3]{ \frac{51}{2\pi}}  \\  \\ r = 2.01 \\  \\ r = 2.0 cm

Diameter = 2 × 2cm

<h3>= 4cm</h3>

Hope this helps you

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Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the i minus 1 power from 1 to infinit
Paraphin [41]

Answer:

  This is a convergent geometric series. The sum is 30.

Step-by-step explanation:

In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...

  S = a1/(1 -r)

where a1 is the first term (12) and r is the common ratio (3/5). This gives ...

  S = 12/(1 -3/5) = 12·5/2 = 30

The series is convergent and has a sum of 30.

7 0
3 years ago
If y varies directly with x, the constant of variation is . The equation representing this relationship is . What is the value o
Julli [10]

Answer:

Y~x

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Y = 22

Step-by-step explanation:

Y~ x

Y = k × X

Since the question isn't complete,we are going to assign figures to complete this very question and move on to other things and you can as well solve questions that are similar to this ones.

Now let's assume that the question says that is 6 when x is 3,what is y when x is 11.

To solve this question above,we need to find the constant of variation which will then enable us to know what y is when x is 11

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When y is 6 and x is 3,k will be

6 = 3k

K= 2

Now when k is 2,x is 11,y Will then be

Y = kx

Y = 2 × 11

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With this procedure,one can find any value of x or y when they have the constant of variation.

If you have a figure assigned to x and y is to be found,the constant of variation will help to get y and vice versa

8 0
3 years ago
What is an equation of the line that passes through
lys-0071 [83]

Answer:

B

Step-by-step explanation:

For the perpendicular of an equation you need to flip the fraction and change the sign from positive to negative or if it's negative to positive. 3/2 is changed to -2/3 which when multiplied by -2 gives you 4/3 and 4/3+5/3 is equal to 3.

3 0
2 years ago
Are these lines parallel explain?
nata0808 [166]

Answer: Yes

Step-by-step explanation: hope it helps

6 0
2 years ago
Read 2 more answers
How do I do this help me please
Dmitrij [34]

Answer:

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Step-by-step explanation:

I broke it down on paper.

3 0
3 years ago
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