What is the volume of the cylinder if the height is 12 and the area of the base is 14

Expert Answers
hala718 eNotes educator| Certified Educator

We know that the volume of the cylinder is given by:

V = r^2* pi * h   such that:

V is the volume, r is the radius, and h is the height of the cylinder.

Given the height h= 12

==> V = r^2 * pi * 12

Now we need to determine the radius r.

But we know that the area of the base is given by>

A = r^2 * pi = 14

Then we will substitute with 14 .

==> V = 14*12 = 168

Then, the volume of the cylinder is 168 cubic units.

neela | Student

What is the volume of the cylinder if the height is 12 and the area of the base is 14.

The volume v of the cylinder is given by:v = pi*r^2*h, where r = radius of the cylinder and h is the height of the cylinder.

Area A of the base of the cylinder is given by: A = pi*r^2 = 14 (given).

Therefore r = (14/pi)^(1/2). We substitute this value of r in the volume v = pi*r^2*h,

v = pi*{(14/pi)^(1/2)}^2*(12), as h = 12 by data.

v = 14*12

v = 168 cubic units.

Therefore the volume of the cylinder is 168 cubic units.