Introduction:
A Right Circular Cone is a three-dimensional figure that is generated by rotating a right triangle about one of its legs. The base is a circle; the slant height,l,is the hypotenuse of the triangle; the height,h, is one leg of the triangle, and the radius,r, is the other leg.
The term "cone" sometimes refers to the surface of this solid figure, or just to the lateral surface.
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Surface Area of a Right Circular Cone:
The surface area,S, of a right circular cone with radius,r, of the circular base and a slant height of l is given as:
S = Pi(r)(r) + Pi(r)(l).
where Pi = 3.14 (approx.).
Example for Surface Area of a Right Circular Cone:
To find the surface area of the right circular cone at the right.
r = 3 inches and l = 8 inches.
S = Pi(r^2) + Pi(r)(l)
= (3.14)(3)(3) + (3.14)(3)(8)
= 28.6 + 75.36
= 103.62 sq. inches.
where Pi = 3.14 (approx.).
Volume of a Right Circular Cone:
The volume, v, of a right circular cone with radius, r, of the circular base and h the height of the cone is given as:
V = [Pi(r^2)(h)] / 3.
where Pi = 3.14 (approx.).
Example for Volume of a Right Circular Cone:
Find the volume of the right circular cone at the right.
r = 7 inches and h = 24 inches.
V = [Pi(r^2)(h)] / 3.
= [(3.14)(7)(7)(24)] / 3.
= 1,230.88 cub. Inches.
where Pi = 3.14 (approx.).
Lateral Surface Area of a Right Circular Cone:
The Lateral Surface Area of a right circular cone of radius, r, and h the height of the cone is given as:
L.S.A = Pi(r)(s).
= Pi (r)`sqrt(r^2+h^2)`
where, Pi = 3.14 (approx.).
Total Surface Area Right Circular Cone:
The Total Surface Area of a right circular cone with radius, r, and h the height of the cone is given as:
T.S.A. = Pi(r^2)(s).
= Pi(r^2) + Pi (r)`sqrt(r^2+h^2)`
where Pi = 3.14 (approx.).
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