A solid toy is in the form of a hemisphere covered by a right circular cone. If the height of the cone is 4 cm and the radius of the base is 3 cm, find the surface area of the toy. Use 3.14
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Given :-
- A solid toy is in the form of a hemisphere covered by a right circular cone.
- The height of the cone is 4 cm and the radius of the base is 3 cm
To Find :-
- Surface area of toy
Solution :-
Dimensions of cone and hemisphere
- Radius of cone and hemisphere, r = 3 cm
- Height of cone, h = 4 cm
We know,
Slant height of cone is given by
We know,
Thus,
More information:
Volume of cylinder = πr²h
T.S.A of cylinder = 2πrh + 2πr²
Volume of cone = ⅓ πr²h
C.S.A of cone = πrl
T.S.A of cone = πrl + πr²
Volume of cuboid = l × b × h
C.S.A of cuboid = 2(l + b)h
T.S.A of cuboid = 2(lb + bh + lh)
C.S.A of cube = 4a²
T.S.A of cube = 6a²
Volume of cube = a³
Volume of sphere = 4/3πr³
Surface area of sphere = 4πr²
Volume of hemisphere = ⅔ πr³
C.S.A of hemisphere = 2πr²
T.S.A of hemisphere = 3πr²
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