a cylindrical vessel 16 cm high and 9 CM radius of the base is filled with sand this vessel is emptied on a marble floor and a conical heap is formed if the height of conical heap is 12 cm find the radius and slant height of the heap
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Volume of cylindrical tank = πr²h
Volume of cylinder = 3.14 × 9² × 16 cm³
Volume of cylinder (πr²h) = 4069.44 cm³
This amount of sand is spread to form cone.
Volume of cone = ⅓ πr²h
Volume of cone = ⅓ × 4069.44
Volume of cone = 1,356.48
⅓ πr²h = 1,356.48
⅓ × 3.14 × r² × 12 = 1,356.48
4r² = 432
r² = 108 => r = 10.4
l = √( 10.4² + 12² )
l = √( 252.16 ) = 15.9 cm or 16 cm
Volume of cylinder = 3.14 × 9² × 16 cm³
Volume of cylinder (πr²h) = 4069.44 cm³
This amount of sand is spread to form cone.
Volume of cone = ⅓ πr²h
Volume of cone = ⅓ × 4069.44
Volume of cone = 1,356.48
⅓ πr²h = 1,356.48
⅓ × 3.14 × r² × 12 = 1,356.48
4r² = 432
r² = 108 => r = 10.4
l = √( 10.4² + 12² )
l = √( 252.16 ) = 15.9 cm or 16 cm
shivanimishra10:
lekin meri book me 14cm, 21.63cm answer a RAHA hai
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