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The basketball shown is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the basketball. What is the surface area and the volume of the box. Volume: 4500 pi inches cube

Respuesta :

muhammadnisar352

Answer:

Step-by-step explanation:

Firstly find radius of cube from given volume by formula = 4/3 π r³

Radius of basketball;  V=4/3 π r³

                                      4500π = 4/3 π r³                

By solving we get r= 15 inches

Diameter = 2* radius

So, diameter =2*15 =>30 inches

Surface area of Box= 6 a²                              ∴ a= side/diameter of basket ball

Surface area = 6*30² = 5400 square inches

Volume of box = a*a*a = 30*30*30= 27000 cube inches

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