a cyclinder has a radius r and a height h. the surface area is 500cm^2?
a) show the volume V cm^3 of cylinder is given by V =250r - πr^3

given r varies

b) calculate maximum value of v to nearest cm^3

c) justify that the value you found is maximum
-------------------------------------------------------

answers:
billrussell42 say: A cyclinder has a radius r and a height h. the surface area is 500 cm²
show the volume V cm³ of cylinder is given by V = 250r - πr³

A = 2πr² + 2πrh = 500
πr² + πrh = 250
πrh = 250 – πr²
h = (250 – πr²) / πr

V = πr²h = πr²((250 – πr²) / πr)
V = r(250 – πr²) = 250r – πr³




Cylinder V = πr²h
A = 2πr² + 2πrh
-
essbu say: brknsyua
-
bzfjh say: bijmswwm
-
aasav say: sqzdqbsk
-