The volume of the cone by definition is given by:
V = (pi * r ^ 2 * h) / 3
Where,
h: height
r: radio
Substituting the values we have:
V = (pi * (9/2) ^ 2 * (16)) / 3
V = 339.2920066 in ^ 3
Rounding:
V = 339.3 in ^ 3
Answer:
the volume of the cone is:
V = 339.3 in ^ 3
Answer:
1 pencil will be for 1.75 $
Answer:
Step-by-step explanation:
<u>The billiard cue is 15 cm away from the table</u>
- This refers to coordinates of (15, 0)
<u>The billiard cue touches the table at a point 60 cm off the ground</u>
- This refers to coordinates of (0, 60)
<u>The slope is as per slope formula;</u>
- m = (60 - 0)/(0-15) = 60/ -15 = -4
Thea answer is -4
I'm going to assume that the room is a rectangle.
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
So, 4 x 3 is 12, so 4 blades cost 79.74 x 3 (because every turbine has 3 blades each) is 318.96