For exam purposes, it is always a good idea to memorize key formulas. Memorizing formulas help you save time in math questions. In this article, let us look at the volume of cylinder. For practical purposes, let us consider a right circular cylinder.
A right circular cylinder is made of two circular bases of equal sizes whose centers are intersected perpendicularly by a common line. The volume of a cylinder is calculated by multiplying area of base and height. We can state it as:
V=πr²h where r is the radius and h is the height.
So if the radius of the circular end of a cylinder is 5 cm and height is 7 cm, the the volume of the cylinder will be 175π cm3
When you are solving volume questions, make sure that the radius and height are represented in the same units. Students commonly make a mistake of considering different units to measure volume. The volume should also be represented in cubic units.
A commonly asked question in this area is the time taken to fill an object if the rate is given. In such cases, students should determine the volume of the cylinder. You can then find out the time by dividing the volume by the rate. Sometimes time and rate information is provided, but one measurement is not given. In such a case, knowing the volume formula will come in very handy. Do not expect to see straightforward volume questions in the exam. You will always get a question which has a simple solution but looks deceptively tough.