a conical Cup is full of ice cream and forms a hemispherical shape on its open air if the common radius of the cone and hemisphere is 3.5 CM the height of the cone is 10.5 cm find the volume of the Ice Cream in the conical cup
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Answer:
Radius of cone =r of h.s
r=3.5
Total height =12.5
Total h of cone −h.s.
12.5−3.5
h of conical =9 cm
V. of ice cream in the cone = volume of conical part +V. of h.s.
=
3
1
πr
2
h+
3
2
πr
3
=
3
1
πr
2
(h+2r)
=
3
1
×
7
22
×(3.5)
2
(9+2×3.5)
=
3
1
×
7
22
×(3.5)
2
(9+7)
=
2
1
×
7
22
×(3.5)
2
×16
V. of ice cream in the cone =205.33 cm
2
.
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