A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 1.5 cm and the ra

Question

2 years ago

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A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 1.5 cm and the ra

dius of the cone is 1.5 cm.
a. What is the volume of the scoop of ice cream? *Show all your work.*

b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? *Show all your work.*

Mathematics

1 answer:

Deffense [45] · Answer 1 · 2023-06-25T04:54:26+03:00

The volume of the scoop of ice cream is 14.14 cm³.

The height of the cone that would fit all the ice cream is 6 cm.

<h3>What is the volume of the scoop of ice cream?</h3>

In order to determine the volume of the scoop of ice cream, the formula for the volume of a sphere would be used.

Volume of a sphere = 4/3 x pi x r^3

= 4/3 x 22/7 x 1.5^3 = 14.14 cm³

<h3>What should the height of the cone be?</h3>

The formula that can be used to determine the height of the cone is:

Volume of the scoop / (1/3 x π x r²)

14.14 / (1/3 x 1.5² x 22/7) = 6 cm

To learn more about the volume of a sphere, please check: brainly.com/question/13705125