Right circular cylinder is a three dimensional object. It has the surface in curved shape and also it has two flat surface called base and top of the right cylinder. There are some websites which provides the online tutoring . In that website student can login and interact with online tutor to ask theirs doubts. The online tutor will clear theirs doubts. In this tutorial we shall see how to calculate the volume and surface area of the right circular cylinder.
Right circular cylinder tutor – Formula:
r - Radius
h - Height
Surface area of right circular cylinder (SA) = 2 π r2 + 2 π r h square units
r – Radius
h – Height
Right circular cylinder tutor – Example problems:
The cylinder has the radius (r) = 6.5 cm, height (h) = 15 cm. Find the volume and surface area of cylinder.
Solution:
Given:
r= 6.5 cm
h=15 cm
Substitute the value of radius and height of the cylinder in the formula,
Volume:
The volume of the cylinder = π x r2 x h cubic unit
= 3.14 x (6.5)2 x 15
= 1989.975
The volume of the cylinder = 1989.975 cm3
Surface area:
The surface area of the cylinder = 2 π r2 + 2 π r h square units
= 2 x 3.14 x 6.52 + 2 x 3.14 x 6.5 x 15
= 265.33 + 612.3
The surface area of the cylinder = 877.63 cm2
2. The cylinder has the radius (r) = 8.3 cm, height (h) = 18 cm. Find the volume and surface area of cylinder.
Solution:
Given:
r = 8.3 cm
h = 18 cm
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Substitute the value of radius and height of the cylinder in the formula,
Volume:
The volume of the cylinder = π x r2 x h cubic unit
= 3.14 x (8.3)2 x 18
= 3893.66
The volume of the cylinder = 3893.66 cm3
Surface area:
The surface area of the cylinder = 2 π r2 + 2 π r h square units
= 2 x 3.14 x 8.32 + 2 x 3.14 x 8.3 x 18
= 432.62 + 938.23
The surface area of the cylinder = 1370.85 cm2
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