a toy is a combination of a cylinder,a hemisphere and a cone each with radius 10cm as shown in figure
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Height of conical part = 10 cm.
Total Height of toy=60cm
Radius of each part = r =10 cm
So height of cylinder = Total height of toy - (height of conical part + the radius of hemispherical part)
= 60 - (10+10) = 40 cm
Total surface area of the toy = CSA of conical part + CSA of cylindrical part + CSA of hemispherical part
= pi.r.l + 2 pi rH + 2 pi r2 = pi.r [.l + 2 H + 2r]
Slant height of cone = sqrt(h2 + r2) = sqrt (102 + 102) = 10 sqrt(2) = 10(1.41) = 14.1
So, the total surface area of toy = 3.14 . 10 [14.1 + 2. 40 + 2 . 10]
= 31.4 [ 14.1 + 80 + 20]
= 31.4 (114.1) = 3582.73 cm2
Total Height of toy=60cm
Radius of each part = r =10 cm
So height of cylinder = Total height of toy - (height of conical part + the radius of hemispherical part)
= 60 - (10+10) = 40 cm
Total surface area of the toy = CSA of conical part + CSA of cylindrical part + CSA of hemispherical part
= pi.r.l + 2 pi rH + 2 pi r2 = pi.r [.l + 2 H + 2r]
Slant height of cone = sqrt(h2 + r2) = sqrt (102 + 102) = 10 sqrt(2) = 10(1.41) = 14.1
So, the total surface area of toy = 3.14 . 10 [14.1 + 2. 40 + 2 . 10]
= 31.4 [ 14.1 + 80 + 20]
= 31.4 (114.1) = 3582.73 cm2
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