A toy in the form of a cone mounted on a hemisphere both are of same radius the diameter of the concial portion is 6cm and its height is 4cm determine the surface are of the soild
Answers
Answer:
Step-by-step explanation:
Given,
Diameter of cone and hemisphere are equal that is 6cm. Therefore the radius of cone and hemisphere is 3cm.
( D/2 = r)
Height of the conical portion is 4cm.
Height of the hemispherical part equals to the radius of hemisphere. Therefore height of hemisphere 3cm.
Now slant height, l = √[h^2+r^2]
=√[4^2+3^2] =√[16+9]
=√25 = 5cm
Slant height of the conical part is 5cm.
Now total surface area of toy equals to sum of Curved surface area of cone and curved surface area of hemisphere.
Therefore, Total surface area of the toy=
= C.S.A. of cone + C.S.A. of hemisphere
= πrl+2πr^2 = πr(l+2r)
= π x 3 ( 5+2[3]) = π x 3 (5+6)
= π x 3 (11) = 22/7 x 33 =726/7
= 103.72cm^2(approx.)
Therefore the T.S.A. of the toy is 103.72cmsq.
Hope this would have been clear to you
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