Question

4. If a sphere and a cube have equal surface areas, then the ratio of their volumes is​

Answer 1

Answer:

6

Step-by-step explanation:

ANSWER

Given, Surface area of sphere = Surface area of cube

⇒4πr

2

=6a

2

⇒(r/a)2=3/2π

⇒r/a=

(3/2π)

Volume of sphere / Volume of cube =(4/3)πr

3

/a

3

=(4π/3)(r/a)

3

=(4π/3)(

(3/2π)

)3

=2

(3/2π)

=

(4×3/2π)

=

(6/π)

Thus, Volume of sphere : Volume of cube =

6

:

π

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Answer 2

Your Answer is provided above

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