Question

What is the volume of a cylinder if circumference of base is 1.32 m, height is 25 cm

Answer 1

Important formulas:    for cylinder,  V = ∏r2h    using circle, definition of ∏ = C/d    for circle, d = 2r The problem gives values for C and h; what else is needed to find V?     V = r2h    V = ∏(d/2)2h           [substitute r=d/2]    V = (∏d)(d)h/4         [re-group]    V = C(C/∏)(h/4)       [substitute ∏d=C and d=C/π)    V = C2h / (4∏) O.K., now, plug in the numbers (doing this later is much easier and more accurate):     V = (132)2(25) / (4*3.14)     V =  34681.53 cm3