Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: ![s=\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
![s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%5C%5C236.64%3D3.14%284.75%29%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C236.64%3D14.915%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C%5Cfrac%7B236.64%7D%7B14.915%7D%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%20%5C%5C15.866%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%5C%5CSwitching%5C%3Asides%5C%3A%5C%5C%5Csqrt%7B14.0625%2Bh%5E2%7D%20%3D15.866%5C%5CTaking%5C%3Asquare%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%28%5Csqrt%7B14.0625%2Bh%5E2%7D%29%5E2%20%3D%2815.866%29%5E2%5C%5C14.0625%2Bh%5E2%3D251.729%5C%5Ch%5E2%3D251.729-14.0625%5C%5Ch%5E2%3D237.6665%5C%5CTaking%5C%3Asquare%5C%3Aroot%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%5Csqrt%7Bh%5E2%7D%3D%5Csqrt%7B237.6665%7D%20%5C%5Ch%3D15.416)
So, the height of right circular cone is h = 15.416 cm
Answer: Add the number previously added multiplied by 3;
+3x, where x is the number that was added previously
Step-by-step explanation:
3+5=8. That's the first equation, where 5 is x. Then the next equation, 8+3x=23. 8+15=23. It works for all of the equations, so that's the pattern.
Substitute -3 to x
(-3)^2 + 4(-3) + 1
9 - 12 + 1
= -2
Answer:
It's line C.
Step-by-step explanation:
the slope of line C is 1/2 so that's the constant of proportionality