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 orphange before donating he wanted to colourvit with his crayons the top is shaped like a cone surmounted by a hemisphere the entire topbis 5 cm in height and the diametre of the top is3.5cm find the area he must colour what value does rasheed possess
Answers
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Answer:
Diameter of hemisphere = 3.5 cm
So radius of hemispherical portion of the lattu = r = 3.52cm = 1.75
r = Radius of the concial portion = 3.52 = 1.75
Height of the conical portion = height of top - radius of hemisphere = 5 - 1.75 = 3.25 cm
Let I be the slant height of the conical part. Then,
l2=h2+r2
l2=(3.25)2+(1.75)2⇒l2=10.5625+3.0625⇒l2=13.625⇒l=13.625−−−−−√⇒l=3.69
Let S be the total surface area of the top. Then,
S=2πr2+πrl
⇒S=πr(2r+l)
⇒S=227×1.75(2×1.75+3.7)=5.5(3.5+3.7)=5.5(7.2)=39.6cm2
Step-by-step explanation:
Diameter of hemisphere = 3.5 cm
So radius of hemispherical portion of the lattu = r = 3.52cm = 1.75
r = Radius of the concial portion = 3.52 = 1.75
Height of the conical portion = height of top - radius of hemisphere = 5 - 1.75 = 3.25 cm
Let I be the slant height of the conical part. Then,
l2=h2+r2
l2=(3.25)2+(1.75)2⇒l2=10.5625+3.0625⇒l2=13.625⇒l=13.625−−−−−√⇒l=3.69
Let S be the total surface area of the top. Then,
S=2πr2+πrl
⇒S=πr(2r+l)
⇒S=227×1.75(2×1.75+3.7)=5.5(3.5+3.7)=5.5(7.2)=39.6cm2