Given,
The volume of a cylinder (V) = 448π cm3
Height (h) = 7cm
To find: Diameter of the cylinder (d)
By formula,
or, Volume of a cylinder (V) = πr2 h
or, 448π cm3 = πr3 x 7cm
or, r2 = \(\frac{448\pi\;cm^3}{7\pi cm}\)
or, r2 = 64cm3
or, r2 = (8cm)2
or, r = 8cm
Therefore, diameter of the base (d) = 2r
= 2 x 8cm
= 16cm.