Answer:
Lateral area of the smaller cylinder = 33.6
π mm²
Step-by-step explanation:
Circumference of the base of a cylinder is 24π mm . A similar cylinder has a base with circumference of 60π mm. Since we are dealing with the circumference of two similar cylinder we need to know the scale factor.
The square factor can be expressed as follow
Scale factor is the ratio between the larger circumference of the larger cylinder to the circumference of the smaller cylinder.
Scale factor = 60π/24π = 2.5
The lateral area of the larger cylinder = 210π mm².
The scale factor squared is equal to the ratio of the larger cylinder surface area to the smaller cylinder surface area.
Therefore,
2.5² = 210π/a
where
a = surface area of the smaller cylinder
cross multiply
6.25
a = 210π
divide both sides by 6.25
a = 210π/6.25
a = 33.6
π mm²
Lateral area of the smaller cylinder = 33.6
π mm²
Answer:
4÷5 is the answer
Step-by-step explanation:
hope its helps
Cubic stack would mean all the sides are the same length.
The length of the side is given as 3 yards.
Volume = 3^3 = 3 x 3 x 3 = 27
Volume = 27 cubic yards.
The dog weighs 17.48 pounds on Mars and 108.56 pound on Jupiter. Therefor, it will weigh 91.08 pounds less on Mars than on Jupiter.
If the geometric series has first term
and common ratio
, then its
-th partial sum is

Multiply both sides by
, then subtract
from
to eliminate all the middle terms and solve for
:



The
-th partial sum for the series of reciprocal terms (denoted by
) can be computed similarly:




We're given that
, and the sum of the first
terms of the series is

and the sum of their reciprocals is

By substitution,

Manipulating the
equation gives

so that substituting again yields

and it follows that
