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 3.0 cm and the radius of the cone is 3.0 cm. What is the volume of the scoop of ice cream? Show all your work. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.

Respuesta :

The volume of the scoop of ice cream is 113.14 cm³.

The height of the cone that would keep the ice cream from spilling is 12cm.

What is the volume of the scoop of ice cream?

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

4/3 x (3^3) x 22/7 = 113.14 cm³

What must the height of the cone be?

Volume of the ice cream / 1/3(nr^2)

113.14 / (1/3 x 22/7 x 3^3) = 12 cm

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