a maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top. the radius of a hemisphere is 3cm. The height of the cone is 10cm. calculate the total volume of the ice cream round your answer to the nearest tenth

Answer :

According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³

How to calculate the volume of the maxicool?

To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.

Volumen of the sphere

V = [tex]\frac{4}{3}[/tex] × π × R³

V = [tex]\frac{4}{3}[/tex] × π × 3³

V = 113.09 cm³

Cone volume

V = [tex]\frac{1}{3}[/tex] × π × R² × h

V = [tex]\frac{1}{3}[/tex] × π × 3² × 10

V= 94.24 cm³

Finally we must add both values to know the total volume of the maxicool.

113.09 + 94.24 = 207.33 cm³

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