Question

The volume of the cone is 50π ft³. The height is 6 ft. What is the radius of the​ cone?

Answer 1

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