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Only brilliant can solve-example-1

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Volume of the cone = 1/3 pi * 3^2 * 4 = 12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 = 18pi
So the volume of the toy = 12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer

Surface area of hemisphere = 1/2 * 4 pi 3^2 = 18pi
Lateral Surface area of the cone = pi r l where l = slant height of the cone
Now l= sqrt ( 4^2 + 3^2) = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi

Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth) Answer
User TizianoL
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