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

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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