Respuesta :
r ³ = (3 x 288 ) / 4
r ² = (3 x 288 )^(2/3) / 4^(2/3)
A = 4 π ( 3 x 288 )^(2/3) / 4^(2/3)
A = 4 π ( 864 )^(2/3) / 4^(2/3)
A = 4 π x 36
A = 144 π
r ² = (3 x 288 )^(2/3) / 4^(2/3)
A = 4 π ( 3 x 288 )^(2/3) / 4^(2/3)
A = 4 π ( 864 )^(2/3) / 4^(2/3)
A = 4 π x 36
A = 144 π
The surface area of the sphere globe in terms of pi is 144π
What is the sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius.
Volume of the sphere is
[tex]V = \frac{4}{3} \pi r^3\\ \\288\pi = \frac{4}{3} \pi r^3\\\\288 \times \frac{3}{4} = r^3\\\\216 = r^3\\\\r=6[/tex]
Surface area of the sphere with radius 6 is:
[tex]A=4 \pi r^2\\\\A=\pi \times (4 \times 36)\\\\A=144\pi[/tex]
To learn more about spheres: https://brainly.com/question/11374994
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