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Nastasia [14]
3 years ago
11

A sphere has a diameter of 10 in. What is the volume of the sphere?

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

The volume of sphere is 500 in³

Step-by-step explanation:

Given:

Diameter of sphere is 10 in.

Now, to find the volume we need radius.

Radius(r) = half of the diameter

r=\frac{10}{2}

r=5

And, now putting the formula to get the volume of sphere:

volume(v)=\frac{4}{3}\pi r^{3}

Putting the value of π = 3.

v=\frac{4}{3} \times 3.14\times 5^{3}

v=1.33\times 3.14\times 125

v=522.025

So, the volume is 522.025 in³.

By estimating the value the volume is 500 in³.

Therefore, the volume of sphere is 500 in³.

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Can you write the equation for a circle if the given point does not lie on the circle? Explain .
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Answer:

No

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given as:

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

If a given point (x,y) does not lie on this circle, it will not satisfy its equation.

This means the distance from the point to the center is not equal to the radius.

It is either less or greater than the radius.

Hence you cannot write the equation of the circle.

3 0
3 years ago
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

        P(Z < 2.37) = P(Z < \frac{2.37-0}{1} ) = P(Z < 2.37) = 0.9911

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

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3 years ago
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Answer:

4.25

Step-by-step explanation:

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Answer:

4x+16

Step-by-step explanation:

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3 years ago
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The answer is A, 12. :)
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2 years ago
Read 2 more answers
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