The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
1 answer:
Hey there :)
The volume formula of a cylinder is:
V =
r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =r²(18)
= r²
536 =r²
= r²
= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =(6.53)²(9)
= 1206 in³
The volume formula of a cylinder is:
V =
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =
536 =
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =
= 1206 in³
You might be interested in
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).