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Mathematics 12 Online
carldaveblanco:

the diameter of a sphere is measured and found to be 3ft with a maximum error of 0.1 in. Find the approximately maximum error in the computed volume. WHAT IS THE ANSWER ?

XxXNessalulbaddieXxX:

well we cant give u the answer but we can help u through the problem

XxXNessalulbaddieXxX:

but uhhh @smokeybrown

SmokeyBrown:

To find the "maximum error" of the computed volume, you would want to find the smallest and largest that the sphere could possibly be Since the diamaeter of the sphere is 3 ft with a maximum error or 0.1, the diameter could actually be anywhere between 2.9 and 3.1 ft. Try calculating the volume of the sphere, assuming the diameter is 2.9 feet. Then do the same, assuming the diameter is 3.1 feet. The difference between these two volumes will be the "maximum error" For your convenience, the formula for calculating the volume of a sphere is (4/3) · π · r3, where r, the radius is 1/2 of the diameter.

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