Question

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.

Answer 1

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