An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the length of the top. The prism's height is # 4 #, the cap's height is #2 #, and the cap's radius is #4 #. What is the object's volume?

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Answer 1 · 2018-04-01T17:27:13

#20.2units^3# to the nearest one decimal place

Volume of hemisphere#=(pih^2)/3(3r-h)#

Caps diameter#=2# #:.r=1 #

Volume of square prism#=w*b*h#

#:.=(pi2^2)/3(3(1)-2)+2*2*4#

#:.=(pi2^2)/3(3(1)-2)+16#

#:.=(4pi)/3*1+16#

#:.=(4pi)/3+16#

#:.=12.56637061/3+16#

#:.=4.188790205+16#

#:.=20.188790205#

#:.=20.2units^3# to the nearest one decimal place.