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:
256
Step-by-step explanation:
3200 x 0.08 = 256
X = 8/3
I hope this helped!
Knowing that your area is:
you can find the radius as:
;
With this you can evaluate the circumference as:
The next correct step would be to open the absolute value signs. To do so, the equation would need to be put equal to two values wich both need to be solved to find the correct answers.
Equation 1: x-5=3
Equation 2: x-5=-3
The answers would be x=8 and x=2.
