(2x3 + x4 - 6x2 + 11x - 10) (x2 + 2

The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

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

We have to make r the subject of the formula

Multiplying equation by 3/4

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

Dividing both sides by pi

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

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

5 0

3 years ago

Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resourceâ€‹ pro

Inessa [10]

Answer:

c) it appears to be sound because the data are not biased in anyway.

Step-by-step explanation:

From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.

8 0

3 years ago

What is the area to a 2 3/4 inch square?

Vinvika [58]

Since every side of a square is the same length, and the formula to find the area is bh you would just do 2.75²

2.75×2.75=7.5625≈7.56

the answer is the area of the square is approximately 7.56u²

5 0

3 years ago

Choose the equation of the line that contains the points (1,-1) and (2,2)

natka813 [3]

(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3

y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b

so ur equation is : y = 3x - 4

7 0

4 years ago

Which of the following statements are true

Kobotan [32]

Answer:

Step-by-step explanation:

The answer for this is

See the red line in the graph which says f(X)

See the blue line in the graph which says g(X)

So these are the variables which come under the example of exponential functions

And the answer is option B. Both graphs are exponential functions.

5 0

4 years ago

(2x3 + x4 - 6x2 + 11x - 10) (x2 + 2 - x)