A boy has a toy which has shape as shown below
the height of the conical part is equal to radius of base
of the toy. On the basis of above information answer
the following question
page 2 ofs
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2
Answer:
Given: toy in form of a cone mounted on a hemisphere
radius of hemisphere =3.5 cm
Total height of toy =15.5 cm
To find: Total surface area TSA = ? Volume, V = ?
Solution :
h=12 cm
r=3.5 cm
Assuming that the cone is completed mounted on hemisphere
TSA of toy = CSA of cone + CSA of hemisphere
=πrl+2πr
2
[r→ radius of both cone and hemisphere as it is here]
=πr[l+2r]
=
7
22
×
10
35
[
(12)
2
+(3.5)
2
+2×
10
35
]
=11[
144+12.25
+7]=11[
156.25
+7]
=11(12.5+7)
=11×19.5
=214.5cm
2
Volume of toy =
3
1
πr
2
h+
3
2
πr
3
=
3
1
πr
2
[h+2r]
=
3
1
×
7
22
×
10
35
×
10
25
[12+2×
10
35
]
=
6
77
[12+7]=
6
77×19
=
6
1463
=243.83cm
3
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