Volume & surface area of cylinder calculator uses base radius length and height of a cylinder and calculates the surface area and volume of the cylinder. Cylinder calculator is an online Geometry tool requires base radius length and height of a cylinder. Using this calculator, we will understand methods of how to find the surface area and volume of the cylinder.
It is necessary to follow the next steps:
A cylinder is a three-dimensional solid with congruent bases in a pair of parallel planes. These bases are congruent circles. The axis of the cylinder is the line segment with endpoints at centers of the bases.
The height or altitude of a cylinder, denoted by $h$, is the perpendicular distance between its circular bases.There are two types of cylinder:
Calculating volume and surface area of cylinder play an important role in mathematics and real life as well. Formulas for volume & surface area of a cylinder can be used to find formulas for volume & surface area of the pipe. A knowledge of surface area formula is useful to calculate how much material we need to make some cylindrical shapes. The volume of cylinder formula is useful in determining the capacity of cylindrical shapes. For example, to design or find the capacity of a water tank, containers, bottle, cylindrical flasks, etc. With volume formula, we can better understand the density and capacity problems.
Practice Problem 1:
Find the base radius length of a right cylinder if the surface area is $256$ square meters and the height is $18$ meters.
Practice Problem 2:
Silo has a cylindrical shape. Find the lateral area of a silo $20$ meters tall with the base radius length of $5$ meters. A second silo is $30$ meters tall. If both silos have the same lateral area, find the radius length of the second silo.
Practice Problem 3:
An Aquarium has cylindrical tanks. If the tank holds $100,000$ liters and is $5$ meter deep. Find the radius of the tank.
The cylinder calculator, formula, example calculation (work with steps), real world problems and practice problems would be very useful for grade school students (K-12 education) to understand the concept of volume & surface area of the cylinder. This concept can be of significance in geometry, to find the volume & surface area of cylinder and pipe. Real life problems on volume & surface area of the cylinder are very common, so this concept can be of great importance of solving problems.