The diameter, D, of a sphere is 16.6cm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.
Question
The diameter, D, of a sphere is 16.6cm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.
Solution
Sure, here's how to calculate the volume of a sphere:
Step 1: Understand the formula for the volume of a sphere. The formula is V = 4/3 * π * r³, where r is the radius of the sphere.
Step 2: Convert the diameter to radius. The radius is half of the diameter, so r = D/2 = 16.6cm / 2 = 8.3cm.
Step 3: Substitute the radius into the formula and calculate the volume.
V = 4/3 * π * r³ = 4/3 * 3.14 * (8.3cm)³ = 2401.1 cm³.
So, the volume of the sphere is approximately 2401.1 cubic centimeters, rounded to the nearest tenth.
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