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An ice –cream seller used to …

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An ice –cream seller used to sell different kinds and different shapes of ice – cream like rectangular shaped, conical shape with one end hemispherical , Rectangular shape with one end hemispherical and rectangular brick, etc.. One day a child came to his shop and purchased an ice – cream an ice-cream which has the following shape: ice –cream cone as the union of a right circular cone and a hemisphere that has the same (circular) base as the cone. The height of the cone is 9 cm and the radius of its base is 2.5 cm.
  • 1 answers

Gaurav Seth 4 years, 1 month ago

1.For that you have to use formula of volume of cone - 1/3 πr²h and you get the answer 19.64 or you can right it 20 cm²

 

2. For that you have to take volume of cone and volume of hemisphere [ 1/3 πr²h + 2/3πr³]

Step-by-step explanation:

1. volume of cone - 1/3πr²h

 

= 1/3 × 22/7 × 2.5² × 9

= (22× 6.25) ÷ 7

= 19.64 or 20cm³

 

2. volume of cone + volume of hemispherical end

= 1/3πr²h + 2/3πr³

= 1/3 × 22/7 × 2.5² × 9 + 2/3 × 22/7 × 2.5³

= 137.5/7 + 687.5/21

= (412.5 + 687.5) ÷ 21

= 1100 ÷ 21

= 52.3 cm³

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