Question

Need to find the volume. measurements in picture, please help.​

Answer 1

Answer:

V = 288.5 $yd^{3}$

Step-by-step explanation:

To find the volume of a cone, use this equation:

$V = \pi r^{2}\frac{h}{3}$

r = radius

h = height

We aren't given the height of the cone, just the length of the side. To find the height use the Pythagorean Theorem:

$a^{2}+ b^{2}= c^{2}$

The value of 12.1 yds is the hypotenuse and the radius is the value of one of the legs. So, set it up like this:

$a^{2}+5^{2} =12.1^{2}$

Now, solve:

$a^{2}+25= 146.41$                   Distribute the square

$a^{2} = 121.41$                           Subtract 25 from 146.41

$\sqrt{a^{2} }=\sqrt{121.41}$

a = 11.01862

So, the height is equal to 11.01862 yds.

Now, we can plug everything into the volume equation:

$V = \pi (5)^{2}\frac{11.01862}{3}$

Simplify (use calculator):

V = 288.5 $yd^{3}$

So, the volume of the cone is equal to 288.5   $yd^{3}$