A sphere has a volume of 4.32 cubic inches.If the sphere's volume can vary between 3.82 cubic inches and 6.42 cubic inches ,how can the radius vary? Round your answer to five decimal places.

Question

A sphere has a volume of 4.32 cubic inches.If the sphere's volume can vary between 3.82 cubic inches and 6.42 cubic inches ,how can the radius vary? Round your answer to five decimal places. ​

Quizplus · Accepted Answer

The radius of a sphere is related to its volume by the formula V = (4/3)πr^3. Solving for r, we get r = (3V/4π)^(1/3). Substituting the given values, we get r = (3(4.32)/4π)^(1/3) = 1.06115 inches. The radius can vary by up to 10% of this value, so it can vary between 0.96975 inch and 1.15296 inches.

A Sphere Has a Volume of 4