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Mary works at baskin Robbins. She is able to scoop perfectly spherical scoops of ice cream. If she gives you 2 scoops of ice cream that have a radius of 3 cm, what volume of ice cream will you be eating ?

Respuesta :

Answer:

The volume of ice cream will be 127 cm³.

Step-by-step explanation:

Given:

Mary works at baskin Robbins. She is able to scoop perfectly spherical scoops of ice cream.

She gives you 2 scoops of ice cream that have a radius of 3 cm.

Now, to find the volume of 2 scoops of ice cream that have a radius of 3 cm.

As given in question the scoop is in spherical shape.

Radius ( r ) = 3 cm.

Putting the formula to get the volume:

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Taking 3.14 as the value of π.

Volume = [tex]\frac{3}{4} \times 3.14\times 3^3[/tex]

Volume = [tex]\frac{9.42}{4} \times 27[/tex]

Volume = [tex]\frac{254.34}{4}[/tex]

Volume = [tex]63.585\ cm^3[/tex]

There are 2 scoops of ice cream.

So, the volume of 2 scoops = [tex]2\times 63.585=127.17\ cm^3[/tex]

Approximately = 127 cm³.

Therefore, the volume of ice cream will be 127 cm³.