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 $18$ , the cap's height is $5$ , and the cap's radius is $5$ . What is the object's volume?

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Answer 1 · 2018-07-04T09:20:38

$1111.7993877991494\ \text{unit}^3$

The volume of the complex solid

$=\text{volume of prism with a height 18 & a square base of side 5}+\text{volume of hemisphere of radius 5}$

$=5\cdot 5\cdot 18+2/3\pi(5^3)$

$=850+250/3\pi$

$=1111.7993877991494 \ \text{unit}^3$

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 18 18 , the cap's height is 5 5 , and the cap's radius is 5 5 . What is the object's volume?