Acylindrial hole is cut through the cylinder below.
below. the larger cylinder has a diameter of 14 mm and a height of 25 mm. if the diameter of the hole is 10 mm, find the volume of the solid.

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

Where

is the the volume of solid cylinder with radius and height h

is the volume of the cylinder being carved out with radius and height h

where

mm ( Half of the bigger diameter )

mm ( Half of the inner diameter )

mm

Putting these values in the formula for V we get

you'll just earn points here

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,