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shusha [124]
3 years ago
6

There are two spheres of different sizes. The large sphere has a radius 3 times the size of the small sphere. How many times lar

ger is the volume of the large sphere compared to the volume of the small sphere?
A. 81
B. 27
C. 9
D. 6
E. 3
Mathematics
2 answers:
Vikentia [17]3 years ago
7 0

Answer:

The answer to your question is the letter B. 27

Step-by-step explanation:

Data

The Radius of large sphere = 3 times the size of the radius small sphere.

The Ratio of Volume = ?

Formula

Volume of a sphere = 4/3 πr³

Process

1.- Calculate the volume of the large sphere

                   Vl = 4/3 π(3r)³

2.- Calculate the volume of the small sphere

                   Vs = 4/3 πr³

3.- Calculate the ratio

                   Vl / Vs = [4/3π(3r³)] / [4/3 πr³]

- Simplification

                   Vl / Vs = 3³r³ / r³

                   Vl / Vs = 27

Serga [27]3 years ago
7 0
Bittys are the answer to your question cause I’m just tryna get this hunid pacent
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How is the quotient 5 to the 8th power expressed as a power of 5
Sauron [17]

Answer:

5^4

Step-by-step explanation:

When dividing exponents with the same base, you subtract their exponents.

8-4=4

This means that 5^8 / 5^4 is equal to:

5^4

6 0
3 years ago
If I have 5 Orange Cats And 14 Black cats How many Cats Will there be left altogether and in colours if 2 Orange Cats get lost a
eimsori [14]

So, we will start by subtracting the orange cats

5-2=3 orange cats left

Then the black cats

14-6=8

Now we will add them back together:

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7 0
3 years ago
20x^2=256+128x. Solve by Factoring.
givi [52]
Hey there,
20x ^ 2 = 256 + 128x
400x = 256 + 128x
400x - 128x = 256
272x = 256
x = 256 / 272
   = <span>0.94117647058
   =0.9

Hope this helps :))

<em>~Top♥</em>
</span>
8 0
3 years ago
A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be
kolezko [41]
No it is not base e.  It is 1.015.

An increase of 1.5 % =  1.015 

Year            1,             2,                       3,.........................., 30.
               30000, 3000(1.015),  30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn =  a(r^n  - 1) / (r - 1);                a = 30000,  r = 1.015,  n = 30

Sn =  30000 ( 1.015^30  -  1) / (1.015 - 1)

      =  30000 (1.56308022 - 1) / (0.015) =  1126160.44

Total =  $ 1 126 160.44

5 0
3 years ago
What is 27 Divided by 15
lozanna [386]
27 divided by 15 is 1.8, so that should be the correct answer.
6 0
3 years ago
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