a solid toy is in the form of a right circular cylinder surmounted by a right circular cone. the diameter and height of the conical part is 24 cm and 16 cm. the total height of the toy is 44 cm. find the TSA of the toy.
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1
Volume of toy = Vol. of cone + Vol.of hemisphere
=
3
1
πr
2
H+
3
2
πr
3
=
3
1
πr
2
[H+2r]h
=
3
1
×
7
22
×2×2[2+2×2]
=
3
1
×
7
22
×4×6
2
=25.12cm
3
Volume of cylinder =πr
2
h=
7
22
×2×2[2+2]=
7
22
×16=50.24cm
3
Difference in volume =50.24−25.12=25.12cm
3
Hence, cylinder cover 25.12cm
3
more space.
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