Question

The volume of a 5 cm long cylindrical iron rod is 6930 cm cube find its diametre

Answer 1

Answer:

given : the volume of

cylinder=6930cubic cm

hieght of the cylinder=5cm

to find: diameter (d)

solution:

the volume of cylinder=

$the \: volume \: of \: cylider = \pi {r}^{2} h$

the volume of cylinder=22/7×r×r×5

6930=22/7×r×r×5

$\frac{6930 \times 7}{22 \times 5} = {r }^{2}$

r×r=441

r×r=21×21

r=21cm......... (taking square root on both side)

Diameter of cylinder = 2×radius of cylinder

diameter of cylinder = 2×21=42cm.

the diameter of a cylindrical iron rod is 42cm.