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 $4$ $4$ , the cap's height is $2$ $2$ , and the cap's radius is $4$ $4$ . What is the object's volume?

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Answer 1 · 2018-04-01T17:27:13

$20.2 u n i t s^{3}$ $20.2units^3$ to the nearest one decimal place

Volume of hemisphere $= \frac{π h^{2}}{3} (3 r - h)$ $=(pih^2)/3(3r-h)$

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

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.

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 4 4 , the cap's height is 2 22 , and the cap's radius is 4 44 . What is the object's volume?