A desktop world globe has a volume of about 1386 cubic inches. The radius of Earth is approximately equal to the radius of the globe raised to the 10 th power. Find the radius of Earth. (Hint: Use the formula V=⁴/₃πr³ for the volume of a sphere.)

Respuesta :

The radius of the Earth, approximately equal to the radius of the globe raised to the 10th power, is 250,562,113.2 inches.

First, solve for the radius of the desktop world globe using the formula for the volume of a sphere given by:

V = 4/3 π r^3

If the desktop world globe has a volume of about 1386 cubic inches, then

1386 cubic inches = 4/3 π r^3

r = 6.916582163 inches

Next, solving for the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power.

Exponent, or power, is the small number written at the upper right of a constant or variable that tells how many times that constant or variable should be multiplied to itself.

If the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power, then

r of Earth = r of globe ^10

r = 6.916582163^10

r = 250,562,113.2 inches

To learn more about exponent: https://brainly.com/question/13669161

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