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?

1 Answer
Apr 1, 2018

20.2units^3 to the nearest one decimal place

Explanation:

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.