Volume of a cone=
r^2*h/3
*3^2*6/3=56.55
volume fo a sphere = 4/3r^3
4/3*pi*1.5^3=14.14
56.55-14.14=42.41
volume fo a sphere = 4/3
4/3*pi*1.5^3=14.14
56.55-14.14=42.41
I JUST DOD THE IMPOSSIBLE AND SOLVED A RUBIX CUBE IN 19 MOVES
1 answer:
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The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Given to us
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.
<h3>What are the two equal parts of the wire?</h3>We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,
Thus, the length of each side will be 24.5.
<h3>What is the length of the shorter piece of wire?</h3>Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.
Length of the shorter wire = 24.5 -2.5 = 22.5
Length of the longer wire = 22.5 + 5 = 27.5
Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Learn more about Lengths:
Answer:
12762.72 cubic meters
Step-by-step explanation:
The volume of a cylinder is denoted by the formula: , where r is the radius and h is the height.
Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.
Now substitute these values into the equation:
cubic meters
Hope this helps!
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that: or another way to think of it would be:
. So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:
Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:
So completely factored form is:
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because . and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes:
just something that might be useful in some cases.