A spherical water tank contains 128π volume of water. If this accounts for 25% of the total volume, what is the radius of the tank?
Options
A
2 m
B
4m
C
4 m
D
8 m
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question is a real - world application problem that requires first finding the total volume of the sphere from the given filled volume and percentage, and then using the volume formula to find the radius.
The main focus is on the sequential application of concepts related to percentages and volume calculations.
Key Concept Explanation
If a part of the volume of a sphere is given as a percentage of the total volume, we can find the total volume by using the formula .
Then, we use the volume formula for a sphere to find the radius.
Step-by-Step Solution
Find the total volume of the sphere: Given that the filled volume is cubic meters and the tank is 25% (or 0.25) full.
Using the formula , we have
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