# Find the circumference of the base of cylinder if the volume is 38 cm and the height = 3 cm

hala718 | High School Teacher | (Level 1) Educator Emeritus

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Given that the volume of the cylinder = 38 cm^3

Also given the height of the cylinder = 3 cm

We need to calculate the circumference of the base :

First we will calculate the radius by using the volume formula:

We know that the volume of the cylinder is:

V = r^2 * pi * h   where r is the radius and h is the height

==> 38 = r^2 * pi * 3

==> r^2 = 38 / 3pi = 4.03

==> r= 2 ( approx)

Now we will calculate the circumference:

We know that:

C = 2* pi *r = 2* 2 * pi = 4pi = 12.57

Then the circumference of the circle is 12.57 cm

justaguide | College Teacher | (Level 2) Distinguished Educator

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We have to find the circumference of the base of the cylinder if the volume is 38 cm and the height is 3 cm

Now the volume of a cylinder is given by pi*r^2*h were r is the radius of the circle that forms the base.

38 = pi*r^2*h

=> 38 = pi*r^2*3

=> r^2 = 38 / (3*pi)

=> r = sqrt [ 38 / (3*pi)]

The circurference of the base is 2*pi*r

=2*pi*sqrt [ 38 / (3*pi)]

= 12.61 (approximately)

The circumference of the base of the cylinder if the volume is 38 cm and the height is 3 cm is 12.61 cm