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>
Answer:
$3675
Step-by-step explanation:
his total income is salary+commission
commission :
15/100 * 20000
= 3000
so total income is $675 + $3000
= $3675
Zero cannot be a denominator.
Idkidwdbwaodbowaidwaboidbwoibdowbdoibwoidbawoidboiwabdoibwodbwod
C= number of children tickets
a= number of adult tickets
In the equation, $9.50 per ticket must be multiplied by each c and a in order to calculate the total.
($9.50 * c) + ($9.50 * a)
since each term has $9.50 in it, we can pull out the common $9.50 in each
$9.50(c + a)
this expression now means that we must multiply $9.50 by c and then multiply $9.50 by a (using the distributive property)
ANSWER: $9.50(c + a) - the second choice down
Hope this helps! :)