Could someone help me? (50 Points)
1 answer:
You might be interested in
We are given Volume of the larger cylinder is = 1600 cubic centimeters.
Height of the larger cylinder = 16 cm.
We know formula of volume of a cylinder V=, where r is the radius of cylinder, h is the height of the cylinder.
Plugging value of V and h of larger cylinder, we get
Dividing both sides by 16, we get
Taking square root on both sides, we get
r=10.
Therefore, radius of the larger cylinder is 10 cm.
We are given cylinders are similar .
<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>
Therefore, we can setup a proportion:
Let us take radius of small cylinder is x.
Multiplying both sides by 10, we get
x=2.50.
Therefore, radius of the small cylinder = 2.5 cm.
Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get
Therefore, correct option is 25 pi cm^3.
We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation
Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4