A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus