PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
2 answers:
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Answer:
The volume of the resulting cylinder is 385 cm³
Step-by-step explanation:
The formula of the rule of a cylinder is V = π r² h, where
- r is the radius of its base
- h is the height of it
<em>When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder</em>
∵ ABCD is a rectangle
∵ It is folded where AB coincides with DC
∴ AB is the height of the resulted cylinder
∴ BC is the circumference of the base of the resulted cylinder
∵ AB = 10 cm
∴ h = 10 cm
∵ BC = 22 cm
∴ The circumfrence of the base = 22 cm
∵ The circumference of a circle = 2 π r
→ Equate the rule by 22 to find r
∴ 2 π r = 22
∵ π =
∴ 2 × × r = 22
∴ r = 22
→ Divide both sides by
∴ r = 3.5 cm
→ Use the formula of the volume above to find the volume of the cylinder
∵ V = × (3.5)² × (10)
∴ V = 385 cm³
∴ The volume of the resulted cylinder is 385 cm³
Answer:
Step-by-step explanation:
Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:
and factor out what's common in each set of parenthesis:
. Now you can what's common is the (d + 3), so factor that out now:
BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):
BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:
. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):
is the completely factored and simplified answer, choice 3)