Introduction:
Geometry is nothing but the act of determining the dimensions or volume of an object. Buildings, cars, planes, maps are of great examples of geometry. The plane geometry, normally used in finding the area, perimeter, circumference of Two-dimensional figures like triangle, circle, rectangle, rhombus, trapezoid, quadrilateral etc. Let us solve some sample problems from plane geometry. Understanding Geometry Lines is always challenging for me but thanks to all math help websites to help me out.
Sample Geometry Problems:
Example 1:
The radius of a right circular cylinder is 7 cm and its height is 20 cm. Find its curved surface area and total surface area.
Solution:
Radius(r) = 7cm, Height(h) = 20 cm.
Curved surface area = (2`pi`r h )= 2 * 22 / 7 * 7 * 20 cm^2
= 880 cm^2
Area of the base and the top = (2`pi`r2)
= 2 * (22 / 7) * 7 * 7 cm^2
= 308 cm^2
Total surface area = (2`pi`r h) + (2`pi`r2) = 880 cm^2 + 308 cm^2
= 1188 cm^2
Example 2:
Surface area of a right circular cylinder of height 35 cm is 121 cm^2. find the radius of the base.
Solution:
Curved surface area = (2`pi`r h) = 121 cm^2
2*(22/7)* r *35 = 121
r = (7*121)/(2*22*35)
= 11/20
= 0.55 cm
Hence, radius of the base = 0.55 cm.
Example 3:
Curved surface area of a right circular cylinder is 6.6 m^2. if the radius of the base of the cylinder is 1.4 m , find the height.
Solution:
Curved surface area = (2`pi`r h) = 6.6
= 2 * (22/7) * 1.4 * h
= h = (7*6.6) / (2*22*1.4)
= (7*66) / (2*22*14)
= 3/4 = 0.75
Required height of the cylinder = 0.75 m.
Please express your views of this topic Surface Area of Cylinder by commenting on blog.
Geometry Practice Exam Problems:
1. the circumference of the base of a right circular cylinder is 220cm. if the height of the cylinder is 2m, find the lateral surface area of the cylinder.
2. A closed circular cylinder has diameter 20cm and height 30 cm. find the total surface area of the cylinder.
3. the radius of the base of a closed right circular cylider is 35 cm and its height is 0.5m. find the total surface area of the cylinder.
Answers:
1. 4.4 m^2
2. 2512 cm^2
3. 18700 cm^2
Geometry is nothing but the act of determining the dimensions or volume of an object. Buildings, cars, planes, maps are of great examples of geometry. The plane geometry, normally used in finding the area, perimeter, circumference of Two-dimensional figures like triangle, circle, rectangle, rhombus, trapezoid, quadrilateral etc. Let us solve some sample problems from plane geometry. Understanding Geometry Lines is always challenging for me but thanks to all math help websites to help me out.
Sample Geometry Problems:
Example 1:
The radius of a right circular cylinder is 7 cm and its height is 20 cm. Find its curved surface area and total surface area.
Solution:
Radius(r) = 7cm, Height(h) = 20 cm.
Curved surface area = (2`pi`r h )= 2 * 22 / 7 * 7 * 20 cm^2
= 880 cm^2
Area of the base and the top = (2`pi`r2)
= 2 * (22 / 7) * 7 * 7 cm^2
= 308 cm^2
Total surface area = (2`pi`r h) + (2`pi`r2) = 880 cm^2 + 308 cm^2
= 1188 cm^2
Example 2:
Surface area of a right circular cylinder of height 35 cm is 121 cm^2. find the radius of the base.
Solution:
Curved surface area = (2`pi`r h) = 121 cm^2
2*(22/7)* r *35 = 121
r = (7*121)/(2*22*35)
= 11/20
= 0.55 cm
Hence, radius of the base = 0.55 cm.
Example 3:
Curved surface area of a right circular cylinder is 6.6 m^2. if the radius of the base of the cylinder is 1.4 m , find the height.
Solution:
Curved surface area = (2`pi`r h) = 6.6
= 2 * (22/7) * 1.4 * h
= h = (7*6.6) / (2*22*1.4)
= (7*66) / (2*22*14)
= 3/4 = 0.75
Required height of the cylinder = 0.75 m.
Please express your views of this topic Surface Area of Cylinder by commenting on blog.
Geometry Practice Exam Problems:
1. the circumference of the base of a right circular cylinder is 220cm. if the height of the cylinder is 2m, find the lateral surface area of the cylinder.
2. A closed circular cylinder has diameter 20cm and height 30 cm. find the total surface area of the cylinder.
3. the radius of the base of a closed right circular cylider is 35 cm and its height is 0.5m. find the total surface area of the cylinder.
Answers:
1. 4.4 m^2
2. 2512 cm^2
3. 18700 cm^2
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