Question

an ice-cream cone consists of a right circular cone of height 14cm with a circular top of diameter 5cm.it has hemisphere on the top with the same diameter as of circular top.find the volume of ice-cream in a cone

Answer 1

Solution:-

Hight of cone h = 14 cm

Diameter = 5 cm

then

r = 5/2 = 2.5 cm

Now

Volume of cone V = 1/3 πr^2 h

" " V = 1/3 × 22/7 × (2.5)^2 × 14

** Volume of cone V = 91.666 cm^3

Then now

Volume of hemisphere on the top of Cone = 4/3 πr^3 × 1/2

hemisphere Volume = 4/3 × 22/7 × (2.5)^3 × 1/2

** hemisphere Volume = 32.738 cm^3

Total volume of ice-cream cone is,

Volume of cone + Volume of hemisphere

= 91.666 + 32.738

= 124.404 cm^3 Ans.

Answer 2

The above answer is correct.