The word inscribed means that the sphere is inside the cylinder and its diameter is equal to the height and diameter of the cylinder. The surface area of the sphere is equal to
SA (sphere) = πd²
where d is the diameter.
That of the cylinder is,
SA (cylinder) = πd(h + d/2)
Since h is also equal to d
SA (cylinder) = πd(d + d/2) = 3πd²/2
Therefore, the surface area of the cylinder is approximately 1.5 times that of the sphere.
i'm not sure if you mean 25% <em>off</em> or 25% <em>of</em> so i'll just do both
25% <em>OFF</em>: $150
25% <em>OF</em>: $50
Answer:
Option A. Triangle STR
Step-by-step explanation:
we know that
If two triangles are congruent, then the corresponding sides and the corresponding angles are congruent
In this problem
If the two triangles of the figure are congruent
then
the corresponding sides are
MN and RS
NO and ST
MO and RT
and the corresponding angles are
∠N≅∠S
∠O≅∠T
∠M≅∠R
therefore
NOM≅STR
<h3>Given</h3>
A geometric sequence such that ...

<h3>Find</h3>

<h3>Solution</h3>
We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).
