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SOVA2 [1]
3 years ago
12

Which expression gives the volume of a sphere with radius 15?

Mathematics
2 answers:
Slav-nsk [51]3 years ago
8 0

Answer:

C) Volume of sphere =  \frac{4}{3} pi( 15)^{3}.

Step-by-step explanation:

Given  : sphere with radius 15.

To find : Which expression gives the volume.

Solution : We have given that radius of sphere = 15 units.

Volume of sphere =  \frac{4}{3} pi( radius)^{3}.

Plugging the value of radius

Volume of sphere =  \frac{4}{3}pi( 15)^{3}.

Therefore, C) Volume of sphere =  \frac{4}{3}π( 15)^{3}.

Nesterboy [21]3 years ago
4 0
The Volume of a Sphere = \frac{4}{3} \pi r^{3}

Thus, if the radius = 15

Then Volume of such a Sphere = \frac{4}{3} \pi (15^{3})    {OPTION C}
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Item 4
enyata [817]

Answer:

D. 4

Step-by-step explanation:

7 0
3 years ago
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
cluponka [151]

Answer:

The answer is B. 1/3

Step-by-step explanation:

Hope this helps! :)

-------------------------------------

3 0
3 years ago
.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
Read 2 more answers
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest
blsea [12.9K]
We all know, savings account have "Compound Interest"

So, Here, On $100 deposit, amount of Interest = $12

So, for $50, it would be: $6

Then, for $300, it is: $36

b) If you deposit $200, then balance after 1 year, 
A = P(1 + r)^t

A = 200(1 + 0.03)^1

A = 200(1.03)
A = $206

Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Hope this helps!

6 0
3 years ago
Please include how to solve this!! Thanks you!
arlik [135]

Circle=27, triangle=18, and square=26

Start with the second question. If you divide 36 by 2, you get 18 which is the value for the triangle. Now since you know the value of the triange you subtract it from 45. (45-18=27) 27 is the value of the circle. Lastly, subtract 27 from 53 to get the value of the square (53-27=26). Hope this helps!

5 0
3 years ago
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