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
Additive inverses add to zero. the additive inverse of any number is just that number multiplied by -1. the additive inverse -1.9 is+1.9 because when you add them the result is zero
Answer:
16
Step-by-step explanation:
The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
<h3>How to determine the volume?</h3>
The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
Read more about volumes at:
brainly.com/question/1972490
Answer:
t=1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
