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
It would be 50 because the 5 is in the tens spot
the answer for this is 20.8558
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
To find perimeter you add up all the sides so the answer is 210
