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Dosha is creating a new dessert that has two layers shaped like cones. The inner cone is frozen ice cream and has a diameter of 12 cm and a height of 6 cm. The outer layer is a thin wafer shell, like an upside-down ice cream cone, with a height of 15 cm and the same diameter as the inner layer. Dosha will inject a cream filling into the space.


What is the volume of the cream filling?

Use 3.14 to approximate pi and express your final answer in hundredths.



cm3

nvm.. it was 339.12 !

Verified Answer :

meerkat18

Given:
Inner cone: diameter = 12 cm ; height = 6 cm
Outer layer: diameter = 12 cm ; height = 15 cm

Volume of a cone = π r² h/3

Inner cone: V = 3.14 (6cm)² 6cm/3 = 3.14 36cm² 2cm = 226.08 cm³
Outer layer: V = 3.14 (6cm)² 15cm/3 = 3.14 36cm² 5cm = 565.20 cm³

Volume of Outer layer :         565.20 cm³
less: Volume of inner layer: 226.08 cm³
Volume of cream filling:        339.12 cm³

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