Mathematics: Need help finding the length of the missing side

Need help finding the length of the missing side

tori829

21.01.2022

Step-by-step explanation:

Use the formula a $a^{2}$ + $b^{2}$ = $c^{2}$

Where a is the 20cm side and b is the base which is 48 cm and c is the hypotenuse of the triangle. Let's solve it;

$20^{2} +48^{2} = c^{2}$

now lets expand the following equation:

400 + 2304 = $c^{2}$

2704 = $c^{2}$

thus c= 52 and that's the answer.

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zhp7171

05.05.2020

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

$Volume = \pi * radius^2 * height$

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

$internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2} - 0.75\\internal\ radius = 2.25\ in$

Then, using the internal radius in the volume equation, we have that:

$Volume = \pi * 2.25^2 * 16$

$Volume = 254.47\ in3$

So the correct option is the fourth one: Volume is approximately 254 cubic inches.

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