Question

A spherical water balloon is filled such that it has a diameter of 9 inches. Water is then released from the balloon until it has a diameter of 7.2 inches.(WILL GIVE BRAINLIEST)

Answer 1

To find the Volume of water released ,

we have to find the volume using both the diameters , before and after releasing the water , and then we can subtract the volumes , and we will get the Volume of water released from the balloon

Volume of the balloon initally when it was filled with water

Diameter = 9 inches

Radius = half of diameter = 4.5 inches

Volume = $\frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (4.5)^{3}$

Plug in calculator and we get

Volume = 381.7 cubic inches

Now volume of balloon after the water is released

Diameter = 7.2 inches

Radius = half of diameter = 3.6 inches

Volume = $\frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (3.6)^{3}$

Plug in the calculator , we get

Volume = 195.4 cubic inches

Now to find the volume of water released we subtract So we get

Volume of water released = 381.7 - 195.4 = 186.3 cubic inches

It means 186.3 cubic inches of water was released

Answer 2

Approximately 186in^3 was released from the water balloon