Question

rasheed got a playing top as his birthday present, which surprisingly had no colour on it . he donated this gift to a child in nearby orphanage. before donating he wanted to colour it with his crayons . the top is shaped like a cone surmounted by a hemisphere. the entire top is 5 cm in height and the diameter of the top is 3.5 cm . find the area he must colour. ( take π = 22/7) . what value does rasheed possess .

Answer 1

Radius of hemispherical portion of the top = 3.5/2 =7/4cm

Radius of the conical portion r = 3.5/2 = 7/4 cm

Height of the conical portion (h) = ( 5 - 3.5/2 ) = 13/4cm

slant height of the conical part 1 = √r*2 + h*2

1 = √(7/4)*2 + (13/4)*2 = √218/4 = 3.69cm ~~ 3.7cm

TSA of the top will be,

2πr*2 + πrl = πr (2r + l) = 22/7 × 7/4 (2×7/4+3.7)

=39.6cm*2

Answer 2

Answer:

We have,

Radius of hemispherical portion of the lattur=

23.5=47cm

Radius of the conical portion r=

23.5 = 47 cm

Height of the conical portion h=(5− 23.5)=413 cm

Slant height of the conical part l= r 2 +h2l= ( 47 )+(413 4218 =3.69cm≈3.7cm

Total surface area of the top will be,2πr 2+πrl=πr(2r+l)= 722 × 47(2× 47 +3.7)=39.6cm

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