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7nadin3 [17]
3 years ago
11

A cylindrial hole is cut through the cylinder below.

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

V=1884 Cubic mm

Step-by-step explanation:

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

V= \pi r^2h

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.

V=V_1-V_2

V=\pi r_1^2 \times h-\pi r_2^2 \times h

V=\pi \times h \times (r_1^2-r_2^2)

Where

V_1 is the the volume of solid cylinder with radius r_1 and height h

V_2 is the volume of the cylinder being carved out with radius r_2 and height h

where

r_1 = 7 mm ( Half of the bigger diameter )

r_2 = 5 mm ( Half of the inner diameter )

h=25 mm

Putting these values in the formula for V we get

V=\pi \times 25\times (7^2-5^2)

V=3.14 \times 25 \times(49-25)

V=3.14 \times 25 \times 24

V= 1884

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