A sphere has a diameter of 24 units. What is its volume in terms of ?
Options
A
2304 units³
B
18432 units³
C
576 units³
D
288 units³
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question requires first finding the radius from the given diameter and then using the volume formula for a sphere.
The main focus is on understanding the relationship between diameter and radius and correctly applying the volume formula.
Key Concept Explanation
The relationship between the diameter d and the radius r of a circle or sphere is .
Once the radius is determined, the volume of the sphere can be calculated using the formula .
Step-by-Step Solution
1. Given d = 24 units, find the radius: r = 24\2 = 12 units.
2. Substitute r = 12 into the volume formula
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