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:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is 
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
2. a=5, b=?, c=13
3. a=7, b=9, c=?
4. a=2, b=?, c=7
Answer:
x = 4.
Step-by-step explanation:
I am assuming that you want to find the values of x and that WXYZ is a parallelogram.
In a parallelogram opposite sides are equal, therefore:
11x + 1 = 19x - 31
1 + 31 = 19x - 11x
32 = 8x
x = 32/8 = 4.
