a toy in made in the shape of a cylinder with one hemisphere stuck to one end and a cone to the other end as shown in the figure the length of the cylindrical part of the toy is 20cm and it's diameter is 10cm if the slant height of the some is 13cm find the surface area of the toy
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Answer:
Total surface area of a toy = 989cm²
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Answer:
Let r cm be the radius and h cm the height of the cylindrical part. Then, r=5cm,h=13cm
Clearly radii of the spherical part and base of the conical part are also r cm. Let h1 cm be the height, l cm be the slant height of the conical part.
Then
l2=r2+h12⇒l=r2+h12⇒l=52+122=13cm
Now
surface area of the toy=
curved surface area of the cylindrical part + curved surface area of hemispherical part + curved surface area of conical part
=(2πrh+2πr2+πrl)cm2
=πr(2h+2r+l)cm2
={722×5×(2×13+2×5+13)}cm2
=770cm2
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