Answer:
39
Step-by-step explanation:
The volume of a cone is
![V=\pi r^2\frac{h}3](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%5Cfrac%7Bh%7D3)
where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.
![94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r](https://tex.z-dn.net/?f=94.2%20%3D%20%5Cpi%20r%5E2%5Cfrac%7B10%7D3%20%5C%5C%20282.6%20%3D%20%5Cpi%20r%5E2%20%2A10%20%5C%5C%2028.26%20%3D%20%5Cpi%20r%5E2%20%5C%5C%208.99543738355%20%3D%20r%5E2%20%5C%5C%202.99923946752%3Dr)
Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.
its b
Step-by-step explanation:
cuz to sides are the exact same then one side is bigger than the others :)
Answer:
![V = 37.7cm^3](https://tex.z-dn.net/?f=V%20%3D%2037.7cm%5E3)
Step-by-step explanation:
The formula for the volume of a cone is:
![V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:
![V = \frac{1}{3} \pi (2)^2(9)](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%282%29%5E2%289%29)
Now solve:
![V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%284%29%289%29%5C%5CV%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%2036%5C%5CV%20%3D%20%5Cfrac%7B36%7D%7B3%7D%20%20%5Cpi%20%5C%5CV%20%3D%2012%5Cpi%20%5C%5CV%20%3D%2037.7cm%5E3)
Therefore, the volume of the cone is 37.7cm^3.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Value of y= 18 and value of x= 9 root3
therefore answer is D