A sphere and a cube have equal surface areas. The length of one edge of the cube is 1.11 meters. What is the radius of the spher

Question

3 years ago

5

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1 answer:

Nady [450] · Answer 1 · 2021-12-06T19:01:46+03:00

Answer:

0.767 m

Step-by-step explanation:

The area of a cube of edge length s is given by ...

A = 6s^2

The area of a sphere of radius r is given by ...

A = 4πr^2

When these two are equal, we have ...

6s^2 = 4πr^2

r^2 = 6s^2/(4π)

r = s·√(3/(2π)) ≈ s·0.690988

The radius of the sphere is about ...

r ≈ 0.690899×1.11 m

r ≈ 0.767 m . . . . approximate sphere radius