A solid is in the shape of a cone surmounted on a hemisphere the radius of each being 3.5 cm and the total height of solid is 9.5 cm . Find the volume of the solid
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Total height of the solid= 9.5 cm
Radius of the cone = Radius of the hemisphere = r = 3.5 cm
Radius of the hemisphere = height of hemisphere = 3.5 cm
Height of cone,( h) =total height of the solid - height of hemisphere
h= 9.5- 3.5 cm
h of cone =6cm
Volume of solid = volume of cone + volume of hemisphere
= 1/3πr²h+2/3πr³
= 1/3πr²(h+2r)
= 1/3×22/7×3.5×3.5×(6+2×3.5)
= 1/3×22/7×3.5×3.5×(6+7)
= 1/3×22/7×3.5×3.5×(13)
= 1/3×22×.5×3.5×(13)
= 500.5/3
= 166.83 cm³
Hence, the volume of the solid is 166.83 cm³
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