Volume of a cylinder = π r² h
Let us assume the following values:
radius = 9
height = 10
Volume = 3.14 * 9² * 10
= 3.14 * 81 *10
Volume = 2,543.40
Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40
Volume = π r² h
= 3.14 * 2² * 40
= 3.14 * 4 * 40
Volume = 502.40
Original volume = 2543.40 V.S. Volume after change = 502.40
The volume of an oblique cylinder decreased when its radius was decreased to 2/9 of its original size and its height is increased 4 times.
Answer:
<em>630 cups</em>
Step-by-step explanation:
<u>Percentages</u>
This problem is most easily solved backward, i.e., from the final data up to the beginning.
There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.
If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.
On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups
Percent change = (new number - old number)/(old number) * 100
percent change = (127 - 136)/(136) * 100
percent change = -6.62%
Since the percent change is negative it is a percent decrease.
Answer: 6.62% decrease.
Answer:
1.38
Step-by-step explanation:
tan Ø = 2/3
Ø = tan⁻¹(2/3)
Ø = 33.69
sin 33.69 ≈ 0.55
cos 33.69 ≈ 0.83
sin Ø + cos Ø ≈ 1.38
Answer with Step-by-step explanation:
We are given that a function
We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let
Substitute x=0
Then, we get
y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0
Substitute x=-1
Therefore,x=-1 is a solution of given equation.
Hence, the x-intercept are
-3,-1 and 5
