Answer:
The radius of the cone is 3 units
Step-by-step explanation:
An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.
While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same
Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h
in this question, we have the height and the volume but we want to calculate the radius
substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have
18 pi = 1/3 * pi * x^2 * 2x
divide through by pi
18 = 1/3 * 2x * x^2
54 = 2x^3
divide both sides by 2
x^3 = 54/2
x^3 = 27
x = cube root of 27
x = 3 units
This is the length of the radius
Hello There!
Write out the formula again:
b = 4c - s².
Substitute your numbers in:
b = 4(25) - (9)²
Simplify:
4 x 25 = 100
9² = 81
b = 100 - 81
Solve:
100 - 81 = 19
b = 19.
Hope This Helps You!
<span>Good Luck :) </span>
<span>- Hannah ❤</span>
Answer:
z = -12
Step-by-step explanation:
The given system of equations is:
xy/(x + y) = 1 ...........................(1)
xz/(x + z) = 2...........................(2)
yz/(y + z) = 3...........................(3)
From (1): x + y = xy
=> y = xy - x
y = x(y - 1)
x = y/(y - 1).......................................(4)
From (2): 2(x + z) = xz
=> 2x + 2z = xz
2x = xz - 2z
2x = z(x - 2)
z = 2x/(x - 2) ....................................(5)
From (3): 3(y + z) = yz
=> 3y + 3z = yz
3y = yz - 3z
3y = z(y - 3)
z = 3y/(y - 3)....................................(6)
Comparing (5) and (6)
2x/(x - 2) = 3y/(y - 3)
2x(y - 3) = 3y(x - 2)
2xy - 6x = 3xy - 6y
6(y - x) = xy .................................(7)
But from (1): xy = x + y
Using this in (7), we have
6(y - x) = x + y
6y - y - 6x - x = 0
5y - 7x = 0
5y = 7x
x = 5y/7................................................(8)
Using this in (4)
5y/7 = y/(y - 1)
1/(y - 1) = 5/7
(y - 1) = 7/5
y = 1 + 7/5
y = 12/5..........................................(9)
Using this in (8)
x = 5(12/5)/7 = 12/7 .......................(10)
Using (10) in (5)
z = 2x/(x - 2)
z = 2(12/7) ÷ (12/7 - 2)
= 24/7 ÷ -2/7
= 24/7 × (-7/2)
= -24/2 = -12
z = -12.
Answer:
I think the answer is right.isn't The rectangle width 8 and length 11 inches
