Ashes726
contestada

The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than the small sphere?

Respuesta :

pbsindhuja

Given:

Radius of large sphere: R1

Volume of sphere: V1

Radius of small sphere: R2

Volume of sphere: V2

R1=2R2

We know that:

Volume of a sphere: 4/3πR^3


Volume of large sphere: 4/3πR1^3

Now we know that R1=2R2(given)

Thus volume of large sphere(V1) 32/3πR2^3.

Volume of small sphere(V2): 4/3πR2^3.

Ratio of volume of large sphere to small sphere is 8:1.

ajeigbeibraheem

The ratio which shows how many times is the volume of the large sphere than the small sphere is 8:1

What is the volume of a sphere?

The volume of a sphere is the region enclosed by the sphere showing the capacity of what the sphere can contain. The formula for finding the volume of a sphere can be expressed as:

[tex]\mathbf{V = \dfrac{4}{3} \pi r^3}[/tex]

However, If the radius of a large sphere(r₁) = double the radius of a small sphere (2r₂).

Then, the volume of the large sphere can be computed as follows:

[tex]\mathbf{V = \dfrac{32}{3} \pi r_2^3}[/tex]

The volume of the small sphere is:

[tex]\mathbf{V = \dfrac{4}{3} \pi r^3}[/tex]

Thus, the ratio which shows how many times is the volume of the large sphere than the small sphere is 8:1

Learn more about the volume of spheres here:

https://brainly.com/question/22807400

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