The radius, R, of a sphere is 8.3mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth.
Question
The radius, R, of a sphere is 8.3mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth.
Solution
The volume V of a sphere can be calculated using the formula:
V = 4/3 * π * R³
Given that R = 8.3 mm and π = 3.14, we can substitute these values into the formula:
V = 4/3 * 3.14 * (8.3)³
First, calculate the cube of the radius (8.3³):
8.3 * 8.3 * 8.3 = 571.787
Then, multiply this result by 4/3 and π:
V = 4/3 * 3.14 * 571.787 = 2383.6 mm³
So, the volume of the sphere is approximately 2383.6 mm³, rounded to the nearest tenth.
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