A toy is in the form of a hemisphere surmounted byy a right circular cone of the same base radius as that of the hemisphere. If the radius of base of the cone is 21 cm and its volume isof the volume of the hemisphere, calculate the height of the cone and the surface area of the toy. [Use pi=22/7]
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Step-by-step explanation:
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
ccon +CSA hemisphere
=πrl+2πr
2
=πr(l+2r)=5082cm
2
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