a toy is a combination of a cylinder hemisphere and the cone each with radius 10 cm ,height of conical part is 10cm ,height of toy is 60cm find the total surface area of toy (π=3.14) and √2=1.14
Answers
The total surface area of the toy is 3582.74sq.cm.
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The total surface area of toy = 3497.96 cm²
Step-by-step explanation:
Here, Height of conical part h = 10 cm
Total height of toy = 60 cm
Radius r = 10 cm
For the conical part l² = r² + h²
= (10)² + (10)²
= 100 + 100
l² = 200
l = 10√ 2 cm
Total height of toy = height of cone + height of cylinder + height of hemisphere
60 = 10 + 10 + height of cylinder
Therefore, the height of cylinder H = 40 cm
Curved surface area of cone = πrl
= 3.14 × 10 × 10 (1.14)
= 357.96 cm²
Curved surface area of cylinder = 2πrH
= 2 ×3.14 × 10 × 40
= 2512 cm²
Curved surface area of hemisphere = 2πr₁²
= 2 × 3.14 × 10×10
= 628 cm²
Now, the total surface area of toy = Curved surface area of cone + curved surface area of cylinder + curved surface area of hemisphere
= 357.96 + 2512 + 628
= 3497.96 cm²
Therefore , the total surface area of toy = 3497.96 cm²