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. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since deep antiquity. let us disuse about how to find the cross sectional area of cylinder. source-wikipedia
Cross section area of cylinder is nothing but the base area of cylinder. The base of cylinder is circle. So to find cross sectional area of cylinder, we use the area of circle formula.
Cross sectional area of cylinder = π r2 square unit.
r – Radius of circle
Example problems:
Ex:1 Find the cross sectional area of cylinder with radius 5cm.
Sol:
Given:
Radius (r) = 5 cm
Formula:
Cross sectional area of cylinder = π r2 square unit.
= π x 52
= 3.14 x 25
= 78.5
Cross sectional area of cylinder=78.5 cm2
Ex:2 Find the cross sectional area of cylinder with radius 3cm.
Sol:
Given:
Radius (r) = 3 cm
Formula:
Cross sectional area of cylinder = π r2 square unit.
= π x 32
= 3.14 x 9
= 28.26
Cross sectional area of cylinder= 28.26 cm2
Ex:3 Find the cross sectional area of cylinder with radius 5.5 m.
Sol:
Given:
Radius (r) = 5.5 m
Formula:
Cross sectional area of cylinder = π r2 square unit.
= π x 5.52
= 3.14 x 30.25
= 94.985
Cross sectional area of cylinder= 94.985 m2
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Ex:4 Find the cross sectional area of cylinder with radius 8cm.
Sol:
Given:
Radius (r) = 8 cm
Formula:
Cross sectional area of cylinder = π r2 square unit.
= π x 82
= 3.14 x 64
= 200.96
Cross sectional area of cylinder= 200.96 cm2
Sectional area of a cylinder- practice problem:
Find the cross sectional area of cylinder with radius 2.5cm.
Ans: cross section area=19.625 cm2
2. Find the cross sectional area of cylinder with radius 3.8cm
Ans: cross section area = 45.3416 cm2
3. Find the cross sectional area of cylinder with radius 7.7m
Ans: cross section area = 186.1706 m2
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