The volume of a cone is 64π cm³, and its height is 12 cm. What is the radius of the base?
Options
A
2 cm
B
4 cm
C
6 cm
D
8 cm
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves working backwards from a known volume to find a missing dimension.
The main focus is on solving the volume formula algebraically for the radius.
Key Concept Explanation
Start with the volume formula:
where:
is the radius of the base
is the height of the cone
is approximately 3.1416 or can be left as π in terms of exact value
Substitute the known volume and height, then solve for .
Step-by-Step Solution
Given:
Volume cm³
Height cm
Step 1: Plug into formula
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