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Volume of ConeCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Volume of Cone : From the above diagram we can see that there is right circular cylinder and a right circular cone of the same base radius and same height. When fill up cone up to the brim is emptied into the cylinder 3 times then the cylinder will be completely filled up to the brim. So from that we can conclude that cone volume is 1/3 rd that of the volume of the cylinder. The formula is :
Some solved examples : 1) Find the volume of a cone the radius of whose base is 21 cm and height is 28 cm. Solution : r = 21 cm and h = 28 cm Volume of cone = 1/3 π r ^{2} h V = 1/3 ( 3.14 x 21 x 21 x 28) V = 1/3 x 38772.72 ∴ Volume of a cone = 12924.24 cm ^{3} _________________________________________________________________ 2) If the height of a cone is 15 cm and its volume is 770 cu.cm; find the radius of its base. Solution : h = 15 cm and V = 770 cu.cm volume of cone = 1/3 π r ^{2} h ⇒ 770 = 1/3 x 3.14 x r ^{2} x 15 ⇒ 770 = 3.14 x r ^{2} x 5 ⇒ 770 = 15.7 x r ^{2} ⇒ r ^{2} = 770 / 15.7 = 49 ⇒ ^{2} = 49 ∴ r = 7 cm. _________________________________________________________________ 3) A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained. Solution : As the triangle revolved about the side 12 cm. ∴ radius = r = 5m and height = h = 12 cm Volume = 1/ 3 π r ^{2} h V = 1/3 x 3.14 x 5 x 5 x 12 V = 314 cm ^{3} Volume : • Volume Formulas • Volume of Irregular Shape • Volume of a Cube • Volume of a Rectangular Prism(Cuboid) • Volume of a Cylinder • Volume of Cone • Volume of a Sphere • Volume of a Hemisphere • Volume of a Prism • Volume of a Pyramid Home Page Covid19 has affected physical interactions between people. Don't let it affect your learning.
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