Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer: f(n+1) = (n - 1)/(n + 2)
Explanation:
f(x) = (x - 2)/x+1
Find f(n+1) simply replace x by (n+1)
f(n+1) = (n + 1 - 2)/(n + 1 + 1)
= (n - 1)/(n + 2)
Loss implies a negative change, so the integer will be -15.
We know that
m∠1 and m∠8 are alternate exterior angles
so
the answer is
the option C) m∠1 ≅ m∠8
(5-1)3 +(11-2)2 +(7-4)3
(4)3+9(2)+3(3)
12+18+9
39
so the answer is 39
