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4 votes
4 votes
A globe on Fred’s desk

is shaped like a sphere
with a volume of 14,130
cubic inches. Find the
radius of the globe

User Gkhaos
by
2.6k points

1 Answer

12 votes
12 votes

Final answer:

To find the radius of the globe, use the formula V = (4/3)πr³ and solve for r using the given volume.

Step-by-step explanation:

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius.

In this case, the volume of the globe is given as 14,130 cubic inches. We can plug in this value into the formula and solve for the radius:

14,130 = (4/3)πr³

Dividing both sides by (4/3)π gives us:

r³ = (14,130 / (4/3)π)

To find r, we need to take the cube root of both sides:

r = (14,130 / (4/3)π)1/3

Using a calculator, we can compute the value of r to be approximately 11.5 inches.

User RKataria
by
2.2k points