The formula for the volume, V of a cone is V = (1/3)*π*(radius)^2 * height.
So, as you see you have two variables, radius and height, which means that there are different combinations of radius and height that lead to the same volume.
That implies that your questions is missing some information.
I searched for it and found that the question has a list of answer choices. This is the list:
a) radius 6 inches, height 3 inches
b) diameter 6 inches, height 3 inches
c) diameter 4 inches, height 6 inches
d) diameter 6 inches, height 6 inches
Now you can probe those options to see which leads to an approximate volume of 28 cubic inches.
a) radius 6 in, height 3 in
=> V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3 => not possible
b) diameter 6 in, height 3 incdiameter 6 in => radius 3 in=> V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3 => this is the answerThe other options lead to values far from 28 in^3.Answer: diameter 6 inches, height 3 inches.
x = 15 and y = 12
4x + 2 = 62 ( alternate congruent angles )
subtract 2 from each side
4x = 60 ( divide both sides by 4 )
x = 15
12y = 144 ( alternate congruent angles )
divide both sides by 12
y = 12
The answer would be c trust me
You wanna divide both sides by the numeric factor on the left side, solve.
X=13
I'm thinking 75% because the increase from 4 to 7 is 2
Answer:
$4194.39
Step-by-step explanation:
Two equal payments one after 3 months and another after 9 months respectively are used to settle a debt of $6000 due today.
We have to calculate the size of the equal payments at 6% compounded quarterly.
Let the amount be $x.
So, $(x + x) = $2x will be the total sum after interest.
Therefore, $6000 will be charged for 3 months at 6% interest quarterly and $(6000 - x) will be charged for (9 - 3) = 6 months at 6% interest quarterly.
The equation we can write is
⇒ 6000 × 1.06 + ( 6000 - x)(1.1236) = 2x
⇒ 3.1236x = 6000 × 2.1836
⇒ x = $4194.39 (Answer)