Question

Height of a cylinder is four times the radius of its base, then the volume of the cylinder is ______.

Answer 1

Answer:

Step-by-step explanation:

Let height of the cylinder be h and circumference of cylinder be C.

h=4×C .... [Given](i)

h=4×2×π×r

∴ r=8×πh​

∴ r=8×π4×C​  [From (i)]

∴ r=2×πC​  .....(ii)

Volume of cylinder =πr2h

                               =22×π×r×r×h​ ... [Multiplying and dividing by 2]

                               =2×2×πC×C×4×C​  [From (i) and (ii)]

∴ Volume of cylinder = πC3​