We have:
Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm
We know the formula to find volume of cone is
![\frac{1}{3} r^{2} \pi h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20r%5E%7B2%7D%20%20%5Cpi%20h%20)
We need to find the radius of the base of the cone
![535= \frac{\pi r^{2}8} {3}](https://tex.z-dn.net/?f=535%3D%20%5Cfrac%7B%5Cpi%20%20r%5E%7B2%7D8%7D%20%7B3%7D%20)
![535*8= \pi r^{2}](https://tex.z-dn.net/?f=535%2A8%3D%20%5Cpi%20%20r%5E%7B2%7D%20)
![\frac{4280}{\pi}= r^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4280%7D%7B%5Cpi%7D%3D%20r%5E%7B2%7D%20%20%20)
![r= \sqrt{ \frac{4280}{ \pi} }](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%7B%20%5Cfrac%7B4280%7D%7B%20%5Cpi%7D%20%20%20%7D)
![r=36.9](https://tex.z-dn.net/?f=r%3D36.9)
to the nearest one decimal place
The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
Answer:
160
Step-by-step explanation:
n : d : s
8 : 12 : 20
davina = 48 sweets
48/12 = 4
8 + 12 + 20 = 40
40 x 4 = 160 sweets total
The absolute value inequality for the graph is given as |x| < 4
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
The absolute value is given by:
|x - average| = distance to midpoint
From the graph:
x > -4 and x < 4
The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4
Average = (-4 + 4)/2 = 0
Hence:
|x - 0| = 4
|x| < 4
The absolute value inequality for the graph is given as |x| < 4
Find out more on equation at: brainly.com/question/2972832
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Answer:
$300
Step-by-step explanation:
1 month =4 weeks
1 week=22 hrs
2 week= 25 hrs
3 week = 14 hrs
4 week = 19 hrs
Total of hrs in the month is 80 hrs
80 hrs = $960
25 hrs = ?
960×25÷80=300
Answer =$ 300