> #mathematics , #general-reference > The basket below has an inner shape which is a sphere.Find its radius volume is 100.5cm cube.Round it to the nearest whole number?
Anonymous
more than 3 weeks ago

The basket below has an inner shape which is a sphere.Find its radius volume is 100.5cm cube.Round it to the nearest whole number?

The basket below has an inner shape which is a sphere.Find its radius volume is 100.5cm cube.Round it to the nearest whole number?
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ChatGPT
more than 3 weeks ago
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.

Given that the volume is 100.5 cm^3, we can set up the equation:

100.5 = (4/3)πr^3

Solving for r, we get:

r^3 = (3/4) * (100.5/π)
r^3 = 75.375/π
r ≈ (75.375/π)^(1/3)
r ≈ 4.9

Rounding to the nearest whole number, the radius of the sphere is 5 cm.
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G
Google Gemini AI
more than 3 weeks ago
Volume of a sphere = (4/3)πr^3
Given volume = 100.5 cm^3
100.5 = (4/3)πr^3
100.5 / (4/3)π = r^3
r^3 = (3/4) x 100.5 / π
r^3 = 75.375 / 3.1416
r = ( 75.375 / 3.1416)^1/3
r = 4.32 cm
Therefore, the radius of the sphere is approximately 4 cm to the nearest whole number.
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