a child is riding in a boat in a 12-m-deep pond. while in the boat he plays with a stone sphere of radius 2.0 cm. a). if the sphere has a mass of 89 g. what is its density?b). if the child holds the sphere under water, what is the difference in pressure between the top and bottom of the sphere?c). as you kne would happen, the child drops the stone sphere in the pond. what is the total pressure exerted on the sphere when it is at the bottom of the pond?

Respuesta :

the total pressure exerted on the sphere when it is at the bottom of the pond is 8∛2 ≈ 10.08

The volume of a hemisphere is given by the formula ...

 V = (2/3)πr³

Then the radius is ...

 r = ∛(3V/(2π))

 r = ∛(3·1071.79/(2·3.14)) ≈ ∛512.00 ≈ 8.00

The radius of Sarah's pond is 8 inches.

We can see from the above that the radius is proportional to the cube root of the volume. If Sarah wants to double the volume, she needs to multiply the radius by ∛2 ≈ 1.260.

The pressure will be 8∛2 ≈ 10.08

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