The volume of the cone is 50π ft³. The height is 6 ft. What is the radius of the cone?
1 answer:
Answer:
r = 5 feet
Step-by-step explanation:
see attached for reference
recall that volume of a circular cone is given by
V = (1/3) πr²h, where
V = volume = given as 50π ft³
r = radius (we are asked to find this)
h = height of cone = given as 6 feet
Substituting the above known values into the equation:
V = (1/3) πr²h
50π = (1/3) π (r²)(6)
50π = π (r²)(2) (divide both sides by 2)
25π = π r² (divide both sides by π)
25 = r²
r = ±√25
r = ±5 (since radius cannot be negative, we select the positive value
r = 5 feet
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