5. VOLUME OF A CONE
• A cone is given in the figure.
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6. • Pyramids with circular bases are actually called
cones.
• It has two sides:
1. A Curved surface and
2. A Circular base.
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INTRODUCTION
7. • The height of a cone is the perpendicular distance
from the vertex to the base and it can be
measured as in the case of a pyramid.
• It has a slant height and a height.
• Slant height : √r²+h²
where r = base radius, h = height
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DESCRIPTION
8. • The surface of a cone consists of a curved surface
made y bending a sector of circular base.
• The area of the sector used to make the cone is
the curve are known as lateral surface area of the
cone.
• The curved surface area of a cone of base radius r
and height is πrl.
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NARRATION
9. • The total surface area of a cone is πr(r + l) where
r = base radius , and l = slant height.
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NARRATION
10. • The volume of a cylinder of base radius r and
height h is (πr)²h.
• So the volume of a cone with the same base and
height is one third the volume of the cylinder.
• So the volume of a cone = 13 πr²h.
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NARRATION
11. • From the top of a solid cone, a small conical
piece is cut-off.
• The remaining solid is called a frustum of the
cone.
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NARRATION
12. • If from the top of a cone, a smaller cone is cut-off
by slicing parallel to the base, then base radius,
height and the slant height of the two cones are
proportional.
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RESULT