Mensuration >> Right Circular Cone

Radius of a cone with volume and height - Right Circular Cone - Mensuration problem solver

Find the radius of this cone. The volume is about 1408 feet cubed and the height inside is 21 feet.

radius of a cone with volume and height

volume = 1408
height = 21
r =  sqrt( ( 3 * V ) / ( PI * h ))
radius = sqrt( ( 3 * 1408 ) / ( PI * height ))
radius = 8
radius = 8
d =  r * 2
diameter = 8 * 2
diameter = 16
So the diameter is 16
r =  d / 2
radius = 16 / 2
So the radius is 8

Right circular cone Formulas :

A =  PI * r * r

C =  2 * PI * r

d =  r * 2

r =  d / 2

V =  (1/3) * PI * r * r * h

LSA =  PI * r * sqrt( r * r + h * h )

TSA =  ( PI * r * r ) + ( PI * r * sqrt( r * r + h * h ))

s =  sqrt( r * r + h * h )

h =  sqrt( s * s - r * r )


where,

d = diameter
A = area
C = circumference
r = radius
V = volume
LSA = lateral surface area
TSA = total surface area
s = slant height
h = height

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