# Area of Cross Section of Cylinde

Cylinder:

A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.

Source: Wikipedia

cylinder

A cross section is defined as a section formed by a plane cutting through an object, usually at right angles to an axis.

cross section of a cylinder

Area of cross section of cylinder can be calculated by,

Area of cross section of cylinder =`2pirh`

Where, r = radius and h = height
Examples for Area of Cross Section of a Cylinder

Problem 1:

Find the area of cross section of cylinder radius 5 cm and height 7 cm.

Solution:

Area of cross section of cylinder =` 2 pi r h`

= `2 * pi * 5 * 2`

= `2 * (22 / 7) * 5 * 7`

= `2 * 22 * 5`

= `220 cm^2`

Hence the solution is `220 cm^2` .

Problem 2:

Find the area of cross section of cylinder radius 14 cm and height 5 cm.

Solution:

Area of cross section of cylinder = `2 pi r h`

= `2 * pi * 14 * 5`

= `2 * (22 / 7) * 14 * 5`

= `2 * 22 * 2 * 5`

= `440 cm^2`

Hence the solution is `440 cm^2.`

Problem 3:

Find the radius if area of cross section of cylinder is `792 cm^2` and height 3 cm.

Solution:

Area of cross section of cylinder = `2 pi r h`

792           = `2 * pi * r * 3`

792           = `2 * (22 / 7) * r * 3`

r    = `792 * (1 / 6) * (7 / 22)`

= 42 cm

Hence the solution is 42 cm.
Practice Problems

Find the area of cross section of cylinder radius 21 cm and height 4 cm.
Find the area of cross section of cylinder radius 63 cm and height 12 cm.
Find the area of cross section of cylinder radius 35 cm and height 8 cm.
Find the radius if area of cross section of cylinder is 660 `cm^2 ` and height 7 cm.
Find the radius if area of cross section of cylinder is 264 `cm^2 ` and height 21 cm.
Find the radius if area of cross section of cylinder is 528` cm^2 ` and height 2 cm.