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24 votes
Ava has a water balloon in the shape of the sphere with a diameter of 4. She wants to fill it with water.4 inWhich is the closest to the amount of water in cubic inches, that Ava's balloon will hold if it iscompletely full?33.51 in 394.32 in 3267.94 in 32143.57 in 3

Ava has a water balloon in the shape of the sphere with a diameter of 4. She wants-example-1
User Unu
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1 Answer

29 votes
29 votes
Answer:

33.51 in^3

Explanations:

The balloon is spherical in shape.

The amount of water that the balloon can hold is the volume of the balloon

The volume of a sphere is given by the formula:


\text{Volume = }(4)/(3)\text{ }\pi r^3

The diameter of the balloon = 4 in

The radius, r = diameter / 2

r = 4/2

r = 2 in

π = 22/7


\begin{gathered} \text{Volume = }(4)/(3)*(22)/(7)*2^3 \\ \text{Volume = }(4)/(3)*(22)/(7)*8 \\ \text{Volume = }(704)/(21) \\ \text{Volume = }33.51in^3 \end{gathered}

The balloon can hold 33.51 cubic inches of water

User Eric Conner
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