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- cidyahLv 74 years ago
Volume of cone = (1/3) pi r^2 h ('r' is the radius and 'h' is the height)
dV/dt = 5 ft^3 /sec
h= (2/3)(2r)
h = 4r/3
r = 3h/4
Volume = (1/3) pi (3h/4)^2 h
Volume = (3pi/16) h^3
dV/dt = (3pi/16) (3h^2) dh/dt
when h=30:
5 = (9pi/16) (30)^2 dh/dt
5 = (8100pi /16) dh/dt
dh/dt = 80 /(8100pi)
dh/dt = 4/(405pi) ft/sec
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