Surface Areas and Volumes

Surface Areas and Volumes

Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid.

Use π= 227

Answer

                                

Radius of hemi-sphere = 7 cm.

Radius of cone 7 cm.

Height of cone = diameter = 14 cm.

Volume of solid = Volume of cone + Volume of hemi-sphere

                        = 13πr2h + 23πr3 =  13 πr2 h + 2r  =  13 x 227 x 7 x 7  14 + 2 x 7 =   13 x 227 x 7 x 7 x 28 = 22 x 7 x 7 x 283 x 7 = 43123 cm3

 

 

                       

 

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