chapter8 Mensuration 1) A play - top is in the form of a hemisphere surmounted on a cone - Maths - Mensuration

Question

chapter8 Mensuration

1) A play - top is in the form of a hemisphere surmounted on a cone
the diameter of the hemisphere is 3 6cm the total height of the
play-top is 4 2cm find its total surface

Rishabh Mittal · Accepted Answer

Dear Student ,
Please find below the solution to the asked query :

Diameter of hemisphere = Diameter of cone =3
6 cmRadius of hemisphere,r = Radius of cone , R=3
6 2=1 8 cmTotal height of Play-Top= 4
2 cmHeight of cone, H =Total height of Play Top-Radius of hemisphere=4
2-1 8=2 4 cm 
Slant height of cone ,l =R2+H2=1 82+2 42=3
24+5 76=9=3 cm 
Total surface area = 2πr2+πRl=2×227×1
8×1 8 + 227×1 8×3=20 36+16 97=37
33  cm2   ANS
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chapter8.Mensuration 1) A play - top is in the form of a hemisphere surmounted on a cone . the diameter of the hemisphere is 3.6cm. the total height of the play-top is 4.2cm. find its total surface .

chapter8.Mensuration

1) A play - top is in the form of a hemisphere surmounted on a cone . the diameter of the hemisphere is 3.6cm. the total height of the play-top is 4.2cm. find its total surface .