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प्रश्न
An ice-cream filled cone having radius 5 cm and height 10 cm is as shown in the figure. Find the volume of the ice-cream in 7 such cones.
उत्तर
Given,
Radius of cone (r) = Radius of hemisphere (r)
= 5 cm
Height of cone (h) = 10 cm
No. of cones = 7
Volume of ice cream in one cone = Volume of cone + Volume of hemisphere
= `1/3 πr^2h + 2/3 πr^3`
= `π/3 r^2(h + 2r)`
= `22/7 xx 1/3 xx 5 xx 5(10 + 2 xx 7)`
= `22/7 xx 1/3 xx 5 xx 5(10 + 10)`
= `(22 xx 25 xx 20)/21`
= 523.8 cm3
Volume of ice cream in 7 cones
= 523.8 × 7 cm3
= 3666.63 cm3
= 3.67 litres
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