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3 years ago

A sphere has a diameter of 22 units. What are its radius and volume?

Mathematics

2 answers:

dimaraw [331]3 years ago

6 0

The answer Is d.

radius = 11

volume = 5,572.45

olga2289 [7]3 years ago

4 0

Answer: D.

The radius is 11 units, and the volume is 5,572.45 cubic units.

Step-by-step explanation:

We know that the volume of a sphere is given by :-

$\text{Volume}=\dfrac{4}{3}\pi r^3$ , where r is radius of the sphere.

Given : The diameter of the sphere = 22 units

Then the radius of the sphere = $\dfrac{22}{2}=11\text{ units}$

Then , the volume of the sphere will be :-

$\text{Volume}=\dfrac{4}{3}(3.14)(11)^3\\\\\Rightarrow\ \text{Volume}=5572.45 \approx\text{ cubic units}$

Hence, the volume of the sphere = 5,572.45 cubic units

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Solve the system of equations algebraically. Verify your

xz_007 [3.2K]

Answer:

The solution is the point (0.5,-3)

Step-by-step explanation:

we have

$y=4x-5$ ----> equation A

$y=-3$ ----> equation B

Solve the system by substitution

Substitute equation B in equation A

$-3=4x-5$

Solve for x

Adds 5 both sides

$-3+5=4x$

$2=4x$

Divide by 4 both sides

$x=0.5$

therefore

The solution is the point (0.5,-3)

Verify your answer using the graph

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure

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Tems11 [23]

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Step-by-step explanation:

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3 years ago

Solve for x: 3(x + 1) = −2(x − 1) − 4. 1 −1 −5 −25

LekaFEV [45]

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3 years ago

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Answer:

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Step-by-step explanation:

Given that:

Initial temperature = 2 degrees

Final temperature = -15 degrees

To Determine:

The change in temperature.

Solution:

First of all, let us have a look at the method for calculating the change in any quantity.

Let the initial quantity = $a$

Let the final quantity = $b$

Change in quantity = Final quantity - Initial quantity = $b - a$

Here, we are given the quantity as temperature.

where $a = 2$ degrees and

$b = -15$ degrees

Therefore, the change in temperature = -15 - 2 = $\bold{-17}$ degrees

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2 years ago

A store sells a coat in three sizes: small, medium and large. The coat comes in red, navy, and tan. Sales numbers are shown in t

QveST [7]

Answer:

Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.

Step-by-step explanation:

Red Medium: 21/58 ( 36.21%)

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Tan Medium: 25/66 (37.88%)

Since it's asking for the probability that the next coat is a medium, no matter the color, we add in all numbers and divide it by the added medium from all three colors.

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3 years ago