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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?

Answer 1

Claire Akin

#1111.7993877991494\ \text{unit}^3#

The complicated solid's volume

#=\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#

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Answer 2

Sadie Allen

The volume of the object is 1050 cubic units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.