The diameter of the base of cylinder is 2m and height is 1.8m.It is melted and recost in to a cone of diameter 3m. find the height of the cone
Answers
Step-by-step explanation:
•If solid of one shape is converted into solid of another shape then, Total volume of the solid to be converted3 Total volume of the solids into which the given solid is to be converted. SOLUTION: GIVEN: Height of a solid metallic right circular cylinder (h) = 1.8 m Diameter of a solid metallic right circular cylinder (d) = 2m Radius of a solid metallic right circular cylinder (r) = d/2 = 2/2 = 1m Diameter of a circular cone (D) = 3m Radius of a circular cone (R) = D/2 = 3/2 m Let ,H be the height of a circular cone. Volume of Cylinder = Volume of Cone Ir?h = V3 (TTR?H) 12 x 1.8 = V3 (3/2)? x H 1.8 x 3 = 9/4 xH 1.8 x 3 x 4 = 9H H = (1.8 x 3 x 4)/9 = 0.6 x4 = 2.4 m Hence, the height of the cone is 2.4 m.
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