<u>Given</u>:
Given that the radius of the cone is 10 cm.
The height of the cone is 25 cm.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
![V=\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
where r is the radius and h is the height of the cone.
Substituting r = 10 and h = 25, we get;
![V=\frac{1}{3}(3.14)(10)^2(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%2810%29%5E2%2825%29)
Simplifying, we have;
![V=\frac{1}{3}(3.14)(100)(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%28100%29%2825%29)
Multiplying, we get;
![V=\frac{1}{3}(7850)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%287850%29)
Dividing, we get;
![V=2616.67 \ cm^3](https://tex.z-dn.net/?f=V%3D2616.67%20%5C%20cm%5E3)
Thus, the volume of the cone is 2616.67 cubic cm.
Hence, Option c is the correct answer.
Answer:
the first one
Step-by-step explanation:
if you simplify 10/2 it is 5. there is already a 5 as an x value, so that means this isn't a function.
Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33