Question

A toy is in the from of a cone mounted on hemisphere of diameter 7cm. the total height of the toy is 14.5m. find the volume of the toy.

Answer 1

Diameter of hemisphere=7 cm
radius of hemisphere=3.5cm
height of hemisphere=radius of hemisphere=3.5cm
height of toy=14.5cm
height of cone=14.5-3.5=11cm
radius of cone=3.5 cm
volume of toy=volume of cone+volume of hemisphere
=⅓×22/7×3.5²×11+4/3×22/7×3.5³
=320.83 cm ³
slant height=√3.5²+11²=11.5
surface area=πrl+2πr²
=22/7×3.5(11.5+7)
=11×18.5=203.5 cm ³

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