Question

Please answer this quickly! I will mark the Brainlist answer!


You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream they’ve asked you to determine the amount of ice cream in a properly filled cone.

Please note Mr. Robbins is very insistent that all cones be properly filled, and that he’s running an honest business.


-Find the volume of the composite shape for Mr. Robbins, and make sure to show your work)


PLEASE SHOW THE WORK!

Answer 1

The mr. Robbins is a good and honest person. because he is running an honest business of his ice cream company and very insistent that all cones be properly filled.and assisting them with determining things like the number of cones that can be made per containerof ice cram

Answer 2

The amount of ice cream in a properly filled cone is 141.151 cm³

Given:

The composite shape hemisphere and a cone

Height of the cone = 9 cm and radius = 3 cm

To find:

Determine the amount of ice cream in a properly filled cone.  

Solution:

Formula used:

Volume of hemisphere = (2/3)πr³  

Volume of cone = (1/3)πr²h

Amount of ice cream that can be filled = Volume of the composite figure

From the data,

Radius of cone = 3 cm and height = 9 cm

Volume cone part = (1/3)π(3)²(9)

=  π3(9) = 84.85 cm³  

Here radius of the cone is the same as the radius of the hemisphere

=> Radius of hemisphere = 3 cm

The volume of the hemisphere = (2/3)π(3)³  

= (2)π(3)² = 56.57 cm³  

Hence, the volume of the composite figure = 84.85 +56.57 = 141.151 cm³  

Therefore,

The amount of ice cream in a properly filled cone is 141.151 cm³

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