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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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Answer:

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Step-by-step explanation:

Let x = full capacity

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Move the variable to the left side by subtracting both sides by \frac{2}{7} x

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Combine the like terms (don't forget about common denominator)

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Multiply both sides by \frac{35}{11} to isolate the x

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