Question

a solid is in a shape of cone on a hemisphere the ratio of each of them being 3.5 cm and then the total height of a solid is 9.5 cm find the volume of the solid

Answer 1

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Answer 2

Answer:

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 cm²

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