Answer:
r = 14.998 yd
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
Given:
V = 3,532 yd cubed
π - 3.14
r = h
Since the radius and the height of the cone are equal
So, let r = h = x yd
V = 3.14 * x^2 * x/3
3532 = 3.14x^3/3
3532 = 1.047x^3
Divide both sides by 1.047
3532/1.047 = x^3
3373.45 = x^3
x = 14.998 yd
Since r = h = x
r = h = 14.998yd
r = 14.998yd
Hint: to check if the value of radius and the height are correct, insert the values into the formula
V = πr^2h/3
V = 3.14 * 14.998^2 * 14.998/3
= 3.14 * 224.940 * 4.999
= 3530.852
≈ 3531 yd cubed
Due to approximations
There is two possible conic section that can be formed when the plane intersects the vertical axis, a circle, and an ellipse. Cutting one nappe of double napped cone perpendicular to the vertical axis means the cut is straight across the cone making a right angle. The conic section formed would be a circle.
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
x = 5 - 4
x = 1
And you have your final answers!
Answer:
yes
Step-by-step explanation:
Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.
x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True
3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True
Thus x = 2, y = 5 is a solution to both equations
