The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have a diameter d = 3in (d = 2r → r = d:2 → r = 3in : 2 = 1.5in)
and the volume 12in³.
Substitute:
![\dfrac{1}{3}\pi(1.5)^2H=12\qquad\text{multiply both sides by 3}\\\\2.25\pi H=36\qquad\text{divide both sides by 2.25}\pi\\\\H=\dfrac{36}{2.25\pi}\\\\H=\dfrac{16}{\pi}\ in\\\\H=\dfrac{16}{3.14}\to H\approx5\ in.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%281.5%29%5E2H%3D12%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C2.25%5Cpi%20H%3D36%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202.25%7D%5Cpi%5C%5C%5C%5CH%3D%5Cdfrac%7B36%7D%7B2.25%5Cpi%7D%5C%5C%5C%5CH%3D%5Cdfrac%7B16%7D%7B%5Cpi%7D%5C%20in%5C%5C%5C%5CH%3D%5Cdfrac%7B16%7D%7B3.14%7D%5Cto%20H%5Capprox5%5C%20in.)
<h3>Answer: The height is 5 in.</h3>
I believe that the answer would be 2 but im not 100% positive
Answer:
c
Step-by-step explanation:
just took the test
Answer:
2x + 24
Step-by-step explanation:
The product of 2 and a number is: 2x
because product means multiply. 2 and a number means 2 times an unspecified number represented as x. 24 more than that product just means to add 24 to the product of 2x.
Answer:
11 mommas!
Step-by-step explanation:
4505 divided by 405.45 is 11.11... Of course, you can't fit 11.11... mommas, so the answer is just 11.