A Toy is in the form of a hemisphere surmounted on a cylinder of height 10cm as shown in the figure. If the radius of the cylinder is 3.5cm find the volume of the toy.
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Answered by
1
Answer:
Volume of cone =
3
2
Volume of hemisphere
3
1
πr
2
h=
3
2
(
3
2
πr
3
) ; r =Common radius h = Cone height
h=
3
4
r=
3
4
(21)=28cm
Slant height, l=
r
2
+h
2
=
21
2
+28
2
=35cm
Total surface area = CSA
cone
+CSA
hemisphere
=πrl+2πr
2
=πr(l+2r)=5082cm
2
Answered by
1
The volume of the toy is 473.48cm³.
Given:
The height of the cylindrical toy =10cm.
Radius of the cylinder= 3.5 cm
To Find:
Volume of the toy.
Solution:
Volume of toy= Volume of cylinder+ Volume of hemisphere
= πr²h+ 2/3πr³
=π( r²h+2/3r³)
= 3.14( (3.5)²*10+0.66(3.5)³)
= 3.14(122.5+28.29)
=473.48cm³
Therefore, the volume of the toy is 473.48cm³.
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