What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m? 8π m³ 16π ​m³ ​ 64π ​m³ 256π m³

Verified Answer :

volume=area of base x height
area of base= pi x r^2=pi x 4^2=pi x 16

volume= pi x 16 x 4
volume= 64pi m^3

The required volume of a right circular cylinder is \(64\pi m^{3}\)

Given that,

Height of circular cylinder = 4m

And volume of a right circular cylinder with a radius = 4 m

We have to find,

The volume of a right circular cylinder .

According to the question,

Volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder.

The area of the circular base is given by the formula

A = πr2.

Volume = Area of base x height

Area of base = \(\pi r^{2}\) = \((2)^{2} \pi\) = \(16\pi\)


And  V = π\(r^{2}\)h

Volume = \((4).(16).\pi\)

Volume= \(64\pi m^{3}\)

Hence, The required volume of a right circular cylinder is \(64\pi m^{3}\)

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