A toy is in the form of a cone mounted on hemisphere. The diameter of the base of the cone is 7cm and it's height is 14.5cm. Find the voume and surface area of the toy. (USE π = 3.14)
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A toy is in the form of a cone mounted on hemisphere. The diameter of the base of the cone is 7cm and it's height is 14.5cm. Find the voume and surface area of the toy. (USE π = 3.14)
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Answer:
Given: Diameter of a hemisphere =7 cm
So, Radius =
2
7
=3.5 cm
∴ Height of the cone, h=14.5−3.5=11 cm
The volume of a toy = Volume of cone +Volume of a hemisphere
=
3
1
πr
2
h+
3
2
πr
3
=
3
1
πr
2
(h+2r)
=
3
1
×
7
22
×3.5×3.5(11+2×3.5)
=
3
1
×22×0.5×3.5×18
=231 cm
3
Answer:
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