PLEASE HELPb) Darragh is inflating a balloon in the shape of a sphere. When fully inflated, the balloon has a radius of 15 cm. (i) Find the volume of Darragh's balloon when it is fully inflated. Give your answer in cm³, in terms of it.
solutions pls​

Respuesta :

We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]

A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is

V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere

In the question it is given that radius of the sphere when fully inflated is 15cm

V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]

Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].

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