Respuesta :

[tex]\textit{volume of a sphere}=\cfrac{4}{3}\pi r^3\qquad r=radius \\ \quad \\ \textit{half that, or a HEMIsphere is }\cfrac{4}{3}\pi r^3\cdot \cfrac{1}{2}\implies \cfrac{4}{6}\pi r^3\implies \cfrac{2}{3}\pi r^3[/tex]

plug in the provided radius, and hm see what it gives you
anuksha0456

The volume of the hemisphere that has a radius of 11.4cm is  3102.9 cm³.

What is the volume of an object?

The volume of an object is the space it occupies in the three-dimensional model.

How is the volume of a hemisphere determined?

The volume of a hemisphere is calculated using the formula:

V = (2/3)πr³,

where V represents the Volume, and r represents the radius of the hemisphere.

How to solve the question?

In the question, we are asked to find the volume of a hemisphere having a radius  (r) = 11.4cm.

We know that the volume of a hemisphere can be calculated using the formula:

V = (2/3)πr³,

where V represents the Volume, and r represents the radius of the hemisphere.

Thus, substituting the value of r = 11.4cm in the equation, we can write,

V = (2/3)π(11.4)³ cm³

or, V = (2/3)π(1481.544) cm³,

or, V = 987.696π cm³,

or, V = 3102.938 cm³,

or, V = 3102.9 cm³. (Rounding off to the nearest tenth, that is, up to one decimal place).

Therefore, the volume of the hemisphere that has a radius of 11.4cm is  3102.9 cm³.

Learn more about the volume of a hemisphere at

https://brainly.com/question/16624103

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