a) Find the volume of the composite solid
b) find the total external surface area of the composite solid
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Volume
The composite figure consists of 3 shapes.
Semicircle 1: Diameter = 2 ; Area = (1/2)πd²/4 = (1/2) π(2)²/4 = π/2
Semicircle 2: Diameter = 4 ; Area = (1/2) πd²/4 = (1/2) π(4)²/4 = 2π
Rectangle : Area= 4 x 2 = 8
Total area = (π/2)+2π+8 =15.85
Total volume = (15.85) 5 = 79.26 mm³
Surface area
Total perimeter = 2+4+(2π/2)+(4π/2) = 15.42
Edit 1:
Lateral surface area = 15.42 x 5 = 77.12 mm²
Area of both ends = 15.85 x 2 = 31.7 mm²
Total surface area = 77.12+31.7 = 108.82
Ans: 108.82 mm²
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Ryle Alisasis
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The composite figure consists of 3 shapes.
Semicircle 1: Diameter = 2 ; Area = (1/2)πd²/4 = (1/2) π(2)²/4 = π/2
Semicircle 2: Diameter = 4 ; Area = (1/2) πd²/4 = (1/2) π(4)²/4 = 2π
Rectangle : Area= 4 x 2 = 8
Total area = (π/2)+2π+8 =15.85
Total volume = (15.85) 5 = 79.26 mm³
Surface area
Total perimeter = 2+4+(2π/2)+(4π/2) = 15.42
Edit 1:
Lateral surface area = 15.42 x 5 = 77.12 mm²
Area of both ends = 15.85 x 2 = 31.7 mm²
Total surface area = 77.12+31.7 = 108.82
Ans: 108.82 mm²
309 viewsView upvotes · Answer requested by
Ryle Alisasis
2
1
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