A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5cm . Find the volume of the toy
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Answered by
1
Step-by-step explanation:
Diameter of hemisphere=7cm
Radius of hemispherer=d/2
=
2
7
=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=3.5cm
∴ Volume of cone=Volume of cone+Volume of hemisphere
=
3
1
⋅πr
2
h+
3
4
⋅πr
3
=
3
1
⋅
7
22
⋅(3.5)
2
⋅11+
3
4
⋅
7
22
(3.5)
3
Volume of toy=320.83cm
3
.
adityavikaramsingh34:
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2
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