Answer :

Given, Diameter of right circular cylinder = 12 cm

Radius of right circular cylinder (r_{1}) =

= 6 cm

Height of right circular cylinder (h_{1}) = 15 cm

Volume of Cylindrical ice-cream container = r_{1}^{2}h_{1}

= 6 6 15

= cm^{3}

Diameter of cone = 6 cm

Radius of cone (r_{2}) =

= 3 cm

Height of cone (h_{2}) = 12 cm

Radius of hemisphere = radius of cone = 3 cm

⇒ Volume of cone full of ice-cream = volume of cone + volume of hemisphere

= r_{2}^{2}h_{2} + r_{2}^{3}

= ( r_{2}^{2}h_{2} + 2r_{2}^{3})

= (3^{2}× 12 + 2× 3^{3})

= (9 ×12 + 2 × 27)

= (108 +54)

= 162

= cm^{3}

Let n be the number of cones full of ice cream.

⇒ Volume of Cylindrical ice-cream container = nVolume of one cone full with ice cream

= n

⇒ N =

⇒ n = 10

Hence, the required number of cones = 10

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