#### Question

A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed.

#### Solution

Height of cone = 15 cm

and radius of the base=`7/2` cm

Therefore, volume of the solid = volume of the conical part + volume of hemispherical part.

`=1/3pir^2h+2/3pir^3`

`=1/3pir^2(h+2r)`

`=1/3xx22/7xx7/2xx7/2(15+2xx7/2)`

`=847/3`

`=282.33 cm^3`

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Solution A Cone of Height 15 Cm and Diameter 7 Cm is Mounted on a Hemisphere of Same Diameter. Determine the Volume of the Solid Thus Formed. Concept: Area and Volume of Solids - Cone.