We all have seen a cylinder, now let us learn to define it in technical terms. A cylinder is a solid figure, with a circular or oval base or cross section and straight and parallel sides. It is a closed solid figure with two circular bases that are connected by a curved surface. It can be said a cylinder is a limiting case of a prism.
Now if the generating line is perpendicular to the base, we call it a Right Cylinder. However, if one of the bases appears sideways, i.e. not perpendicular to the base then such a cylinder is an oblique cylinder. Now let us take a look at some of the important formulas,
The volume of a cylinder = Area of the base × Height of the cylinder = πr²h
Lateral Surface Area = Perimeter of base × height = 2πrh = πdh
Total Surface Area = Lateral Surface Area + Area of bases = 2πrh + 2πr² = 2πr (h+r)
Another aspect of cylinders that we must learn is that of a hollow cylinder, like a pipe for example. Here the formulas will differ slightly. There will be two radii to keep in mind here, R of the outer cylinder, and r of the inner.
Volume of Hollow Cylinder = Vol of External Cylinder – Vol of Internal Cylinder = πR²h – πr²h = π (R² – r²) h
Lateral Surface (hollow cylinder) = External Surface Area + Internal Surface Area = 2πRh + 2πrh = 2π(R+r)h
Total Surface Area (cylinder) = Lateral Area = Area of bases = 2π(R+r)h + 2π (R² – r²) h
2.CONE:
A cone is a solid three-dimensional geographical figure with a flat circular base (or roughly circular base) from which it tapers smoothly to a point known as the vertex or apex. So the cone is formed by a solid generated by a line, one end of which is fixed (apex) and the other describes a closed curve on a plane. Let us take a look at the formulas of a cone,
Volume of a cone = 13 area of base × height = 13 πr²h
Geetika Saigal, entrepreneur and author of Finding Your G Spot in Life, her debut book, quit her job as a sales professional to set up India’s first designer-wear portal called SimplySizzl for the fashion community in 2012. Later, she had to shut down the business and walk away with some much cherished memories and learnings.
Read more at: https://yourstory.com/2018/06/author-geetika-saigal-on-finding-your-g-spot-in-life
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1.CYLINDER:
We all have seen a cylinder, now let us learn to define it in technical terms. A cylinder is a solid figure, with a circular or oval base or cross section and straight and parallel sides. It is a closed solid figure with two circular bases that are connected by a curved surface. It can be said a cylinder is a limiting case of a prism.
Now if the generating line is perpendicular to the base, we call it a Right Cylinder. However, if one of the bases appears sideways, i.e. not perpendicular to the base then such a cylinder is an oblique cylinder. Now let us take a look at some of the important formulas,
The volume of a cylinder = Area of the base × Height of the cylinder = πr²h
Lateral Surface Area = Perimeter of base × height = 2πrh = πdh
Total Surface Area = Lateral Surface Area + Area of bases = 2πrh + 2πr² = 2πr (h+r)
Another aspect of cylinders that we must learn is that of a hollow cylinder, like a pipe for example. Here the formulas will differ slightly. There will be two radii to keep in mind here, R of the outer cylinder, and r of the inner.
Volume of Hollow Cylinder = Vol of External Cylinder – Vol of Internal Cylinder = πR²h – πr²h = π (R² – r²) h
Lateral Surface (hollow cylinder) = External Surface Area + Internal Surface Area = 2πRh + 2πrh = 2π(R+r)h
Total Surface Area (cylinder) = Lateral Area = Area of bases = 2π(R+r)h + 2π (R² – r²) h
2.CONE:
A cone is a solid three-dimensional geographical figure with a flat circular base (or roughly circular base) from which it tapers smoothly to a point known as the vertex or apex. So the cone is formed by a solid generated by a line, one end of which is fixed (apex) and the other describes a closed curve on a plane. Let us take a look at the formulas of a cone,
Volume of a cone = 13 area of base × height = 13 πr²h
Lateral Surface = 12 radius × arc length = 12 l × 2πr = πrl
where l = slant height = √(r² + h²)
Total Surface Area = lateral surface area + Area of base = πrl + πr²
Answer:
Geetika Saigal, entrepreneur and author of Finding Your G Spot in Life, her debut book, quit her job as a sales professional to set up India’s first designer-wear portal called SimplySizzl for the fashion community in 2012. Later, she had to shut down the business and walk away with some much cherished memories and learnings.
Read more at: https://yourstory.com/2018/06/author-geetika-saigal-on-finding-your-g-spot-in-life
Step-by-step explanation:
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