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eduard
1 year ago
7

Find the volume of the sphere. Round your answer to the nearest tenth.Use 3.14 for n.A sphere has a radius of 13 centimeters.The

volume of the sphere is aboutcm3.

Mathematics
1 answer:
sleet_krkn [62]1 year ago
3 0

Answer: We have to find the volume of a sphere, provided its radius:

R_{sphere}=13\operatorname{cm}

The formula for sphere volume is:

V_{sphere}=\frac{4}{3}\pi R^3

Therefore now we can find the volume, because we have the value of the Radius of the sphere, and we do it next.!

\begin{gathered} R_{sphere}=13\operatorname{cm} \\ \rightarrow\therefore\rightarrow \\ V_{sphere}=\frac{4}{3}\pi(13\operatorname{cm})^3=\frac{4}{3}\pi2197\text{ cm}^3 \end{gathered}

Simplification gives:

V_{sphere}=9198.107\text{ cm}^3

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Consider the rectangular prism below.
Radda [10]

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width  

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

4 0
3 years ago
Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
Dmitrij [34]

Answer:

\displaystyle line\:HJ

Step-by-step explanation:

\displaystyle y = 3x + 3

The descryption gives you the above <em>Slope-Intercept Equation</em>. Parallel equations have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], therefore \displaystyle 3 remains as is, and perfourming \displaystyle \frac{rise}{run}, will give you that answer.

I am joyous to assist you at any time.

6 0
2 years ago
7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S
Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0
2 years ago
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Alexandra [31]

Answer:

9

Step-by-step explanation:

5 0
3 years ago
Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being
harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0
3 years ago
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