Question

Find the volume of the ice cream which forms a hemisphere above the right circular cone after filling in a cone of height 12 cm and 6 cm diameter of the base

Answer 1

Given data : The ice cream which forms a hemisphere above the right circular cone after filling in a cone of height 12 cm and 6 cm diameter of the base.

Solution : a/c to question;

• height of cone, h = 12 cm
• diameter of cone/hemisphere, d = 6 cm
• radius of cone/hemisphere, r = d/2 = 6/2 = 3 cm

Now, we use formula of volume of cone;

⟹ volume of cone = 1/3 πr²h

⟹ volume of cone = 1/3 * 22/7 * 3² * 12

⟹ volume of cone = 1/3 * 22/7 * 9 * 12

⟹ volume of cone =22/21 * 108

⟹ volume of cone = 22/7 * 36

⟹ volume of cone = 792/7

⟹ volume of cone = 113.1428 cm³ ----{1}

Now,

⟹ volume of hemisphere = 2/3 πr³

⟹ volume of hemisphere = 2/3 * 22/7 * 3³

⟹ volume of hemisphere = 2/3 * 22/7 * 27

⟹ volume of hemisphere = 44/21 * 27

⟹ volume of hemisphere = 44/7 * 9

⟹ volume of hemisphere = 396/7

⟹ volume of hemisphere = 56.5714 cm³ ----{2}

Now, add eq. {1} and eq. {2}

⟹ volume of ice cream = volume of cone + volume of hemisphere

⟹ volume of ice cream = 113.1428 + 56.5714

⟹ volume of ice cream = 169.7142 cm³

Answer : Hence, the volume of ice creams is 169.7142 cm³.

Learn more :

A shipping container is in the shape of a right rectangular prism with a length of 2.5 feet, a width of 13 feet, and a h...

https://brainly.in/question/40632493

If the volume of water in a cubical tank is

2744 litre, then determine the base area

of the tank if it is filled complet...

https://brainly.in/question/30206506