Answer:
360 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 12 so the radius is 1/2 the diameter
r = d/2 = 12/2 = 6
V = pi (6)^2 * 10
V = pi (36)*10
V = 360 pi in ^3
We can approximate pi by 3.14
V =1130.4 in ^3
Or we can approximate pi by using the pi button
V =1130.973355 in ^3
Step-by-step explanation:
In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.
For a non-negative value of a, a^n is non-negative for all values of n.
If a is negative, and n is even, then a^n is non-negative.
If a is negative, and n is odd, then a^n is negative.
|a| is non-negative for all values of a.
sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.
Answer:
Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to
we have
-----> the radius is half the diameter
substitute the values
------> exact value
step 2
Calculate 2/3 of the volume
Answer:
The height is 2.25 meters.
Step-by-step explanation:
The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.
Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h
Then you can divide both sides of the equation by 5 * 3.9.
So... 43.875/(5*3.9)=h
therefore h= 2.25.
hope this explanation makes sense!
Answer:
12.94
Step-by-step explanation:
By the law of sines:
x / sin(35) = 7.9 / sin70
x = 7.9 * sin(70)/sin(35)
= 7.9 * 0.9397 / 0.5736
= 12.94
