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  • 03-06-2018
  • Mathematics
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  • 03-06-2018
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
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