Question

A solid consists of a hemisphere surmounted by a cone .If the radius of the hemisphere and base radius of the cone is 7 cm and the height of the cone is 3.5cm .Find the volume of the solid

Answer 1

Step-by-step explanation:

Volume of hemisphere= 2/3π r^3

volume of cone = 1/3π r^2 h

then ,

calculation for the next part in the given picture

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Answer 2

Here is your 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 cm³