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The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm

User UrMi
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1 Answer

3 votes

Answer:

Explanation:

Lets assume that a sphere with greater radius = R = 5cm

And a sphere with smaller radius = r = 4cm

Volume of a sphere = 4/3 π * r³

To find the volume of a sphere with radius 5.

Put the value in the formula.

=4/3π * r³

=4/3π *(5)³

5³ = 5*5*5=125

=4/3π * 125

=4/3 *3.14 *125

=1570/3

=523.3 cm³

Now find the volume of sphere with radius= 4

4/3π*r³

=4/3π * 4³

4³= 4*4*4=64

=4/3*3.14*64

=803.84/3

=267.9cm³

Now to find the space between the spheres subtract the volume of smaller sphere from the volume of larger sphere.

We can write it as:

Space between the spheres = Volume of larger sphere - Volume of smaller sphere

= 523.3 cm³ - 267.9cm³

= 255.4cm³ ....

User Schlamar
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