A toy is in form of a cone moodle on a hemishere as show in the fig with the same radius if the diameter of the cone is parcially is6cm and its height is 4cm then find the vilume of the cone
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Answer:
Conical portion
r=3cm,h=4cm
l
2
=r
2
+h
2
=3
2
+4
2
=9+16
l
2
=25
l=
25
=5cm
Spherical portion r=3cm
Surface area of the toy= CSA of hemisphere+ CSA of cone
=2πr
2
+πrl=2×
7
22
×3×3cm
2
+
7
22
×3×5cm
2
=
7
396
cm
2
+
7
330
cm
2
=
7
726
cm
2
=103.71cm
2
Surface area of the toy=103.71cm
2
Volume of the toy= Volume of hemisphere+ Volume of cone
=
3
2
πr
3
+
3
1
πr
2
h=
3
2
×
7
22
×3×3×3cm
3
+
3
1
×
7
22
×3×3×4cm
3
=
7
396
cm
3
+
7
264
cm
3
=
7
660
cm
3
∴ Volume of the toy=94.28cm
3
.
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