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Find the volume of number ten pls i know the answer is 449.57 the figure is to the left

Find the volume of number ten pls i know the answer is 449.57 the figure is to the-example-1
User Tim Van Dalen
by
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1 Answer

18 votes
18 votes

Answer:

see below ( I do not think 449.57 m^2 is correct for surface area)

Surface area = 374.65 m^2 Volume = 448.83 = ~~ 449 m^3

Explanation:

Find the SURFACE AREA (NOT the volume)

Height of cone = sqrt ( 13^2 - 4.5^2) = 12.1963 m

surface area equation for cone = pi * r * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area = 4 pi r^2 = 254.5 m^2

HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65 m^2

For VOLUME: cone 1/3 pi r^2 h = 257.979 m^3

HEMIsphere = 1/2 4/3 pi r^3 = 190.851 m^3

Total VOLUME is then 448.83 m^3

User Vinoaj
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