Answer:
A. 2.9π(9²)
Step-by-step explanation:
You are expected to know that the area of a circle is given by the formula ...
A = πr²
and that r in the formula represents the radius of the circle, half the diameter.
The area of the circular base of the cylinder is the area of a circle with a radius of 9 feet. It will be ...
A = π(9²)
When that is multiplied by the height of the cylinder to find its volume, you have ...
V = Bh
V = (π(9²))(2.9)
This can be rearranged to match the form in answer choice A:
2.9π(9)²
Volume: 2112.5π
Surface Area: 663π
First, let's find the height of the cylinder. Using the formula for lateral surface area, 2*π*r*h:
2*π*13*h = 325π
(divide π by both sides)
26h = 325
h = 12.5 in.
Next, let's solve the surface area of the cylinder using the formula π*r²*h.
π * 13² * 12.5 = π * 169 * 12.5 = 2112.5π.
Next, let's solve the surface area using the formula 2πrh + 2πr².
(2 * π * 13 * 12.5) + (2 * π * 13²) = 325π + 338π = 663π.
Answer:
3/2
Step-by-step explanation:
Answer:
And the 96% confidence is given by (110.06; 117.34)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=9.1 represent the sample standard deviation
n=29 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.96 or 96%, the significance is 
and 
, and the critical value would be 
Replacing the info we got:
And the 96% confidence is given by (110.06; 117.34)
prime1
/prīm/
Learn to pronounce
See definitions in:
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adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
superior
supreme
flawless
choice
select
finest
superlative
peak
optimal
model
excellent
marvelous
magnificent
superb
fine
wonderful
exceptional
formidable
top of the range
top of the line
tip-top
A1
stellar
top-notch
Opposite:
inferior
noun
1.
a state or time of greatest strength, vigor, or success in a person's life.
"you're in the prime of life"
Similar:
heyday
best days/years
day
time
prime of one's life
maturity
youth
springtime
salad days
bloom
flowering
full flowering
perfection
peak
pinnacle
height
high point/spot
zenith
ascendancy
2.
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.prime1
/prīm/
Learn to pronounce
See definitions in:
All
Mathematics
Religion
Printing
Fencing
Weapons
Building
Mechanics
Motoring
Biochemistry
adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.
