Question

an ice cream is the combination of a right circular cone and a hemisphere that has the same base as the cone. find the volume of the ice cream if the height of the cone is 9cm and the radius of its base is 2.5cm.​

Answer 1

Answer:

Since the conical part and hemispherical part have the same base, their radii will be same,

i.e., r=2.5cm

i.e., r=2.5cmAlso,

i.e., r=2.5cmAlso,Height of the conical part of the ice cream (h)=9cm

i.e., r=2.5cmAlso,Height of the conical part of the ice cream (h)=9cmNow,

i.e., r=2.5cmAlso,Height of the conical part of the ice cream (h)=9cmNow,Volume of conical part of ice cream = 1 πr²h

3

= 1 × 22 × (2.5)² × 9

3 7

= 58.93cm³

Volume of hemispherical part of ice cream=

= 2 πr³

= 2 × 22 ×(2.5)³

3 7

= 32.73cm³

Therefore,

Therefore,Volume of ice cream = 32.73+ 58.93= 91.66cm³