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:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
Answer:
kk send the pictures
Step-by-step explanation:
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
There are two answers:
B) 5
C) 8
==============================================
Explanation:
If we had a triangle with sides a, b and c, then we can say
b-a < c < b+a
where b is larger than 'a'. This is the triangle inequality theorem
In this case, a = 5 and b = 9 so,
b-a < c < b+a
9-5 < c < 9+5
4 < c < 14
Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}
We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.