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Allushta [10]
3 years ago
7

A 12-foot ladder is placed four feet from the base of a wall.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:8sqrt 2 or sqrt 128

Step-by-step explanation:

We can use the Pythagorean Theorem. Since the ladder is leaning against the wall, it is the hypotenuse. It is also 4 feet away from the wall so 12^2-4^2=b^2 b^2=128 so b=8sqrt 2 or sqrt 128.

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Step-by-step explanation:

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4 years ago
A cylindrial hole is cut through the cylinder below.
Vika [28.1K]

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)

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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

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r_2 = 5 mm ( Half of the inner diameter )

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V=3.14 \times 25 \times 24

V= 1884

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