The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
Find the missing base
HELP please!!!!!!!!!!
the sum of a number and its multiplicative inverse is 5 times the number
Answer:
Holii me ayudas a ganar plis
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
Explain why Roy’s diagram is not correct.
Answer:
Looks like he scaled it 2 1/2, not 1 1/2
Step-by-step explanation:
proportionally he went from CR of 4 units to CZ of 10 units. That's a 2 1/2 scale increase, not 1 1/2.
pls help the question is in the picture
what is 18,693.51 as 2dp
Answer:
What are u even talking about
Step-by-step explanation:
Who is good at accounting
Please answer
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
Barb makes 2.5 pounds
of mashed potatoes to
feed 15 people. How
much will she need to
make to feed 50
people?
what is 7/8 days in hours
MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.
Answer:
3x = 45
they can form 15 three-person teams
Step-by-step explanation:
45 / 3 = 15
Find the limit:
lim e−9x sin x
x→0
Answer:
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x[/tex]
Step 2: Evaluate
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = e^\big{-9(0)} \sin(0)[/tex]Simplify: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
what is the best estimate for the sum of fractions 5//6 and 5/8
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
The best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
We have to determine
What is the best estimate for the sum of fractions 5//6 and 5/8?
Sum of fraction;The addition of Fractions depends on one main factor which is the denominator of the fraction to be added.
There are different ways to add them depending on whether the denominators of the fractions to be added are like or unlike.
The sum of the fraction 5//6 and 5/8 is;
[tex]\rm= \dfrac{5}{6}+\dfrac{5}{8}\\\\=\dfrac{5\times 8+5\times 6}{48}\\\\= \dfrac{40+30}{48}\\\\=\dfrac{70}{48}\\\\=\dfrac{35}{24}[/tex]
Hence, the best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
To know more about fractions click the link given below.
https://brainly.com/question/1301963
PLZ help me with this question
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
Martha made a purchase for $70.20 including 8% sales tax.
What was the total before tax?
Answer:
64.58
Step-by-step explanation:
100%-8%=92%
70.20*92%=64.58
2/5 meters into centimeters
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
Markup & Markdown
In the questions below, you will be ask about situations involving markups and
markdowns. Anytime your answer deals with money, round to the nearest hundredths place and
include proper unit labels. Be sure to show all of your work for each problem.
1. The managers at the hunting store usually determine their prices by using a markup of 11
percent. If they purchased camo pants for $45 each, what will be the price for their customers?
2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices
each fly for the customers at $3.75, what is the markup percentage?
0.45+100x 11=4.95+45=49.95
50-1008 2.50 = 1.25=50%,
3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If
they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are
using?
Answer:
$49.95 ; 50% ; 33.33%
Step-by-step explanation:
1.)
Markup % = 11%
Purchase price = $45
Selling price will be :
(100 + 11)% * $45
1.11 * $45 = $49.95
2.)
Purchase price = $2.50
Selling price = $3.75
Markup % :
Profit / purchase price * 100%
[(3.75 - 2.50) / 2.50)] * 100%
1.25 / 2.50 * 100%
0.5 * 100% = 50%
3.)
Purchase price = $3.75
Selling price = $5.00
Markup % :
Profit / purchase price * 100%
[(5.00 - 3.75) / 3.75)] * 100%
1.25 / 3.75 * 100%
0.3333 * 100% = 33.33%
D
+
32°
41°
A
C
B.
O
mZB =" [?]
Answer:
what is the question? where is the diagram?
-1>2.5 true or false
Answer:
false
Step-by-step explanation:
-1 is negative hvxdshvxjshvxhsdvxhjvsdhjx wdvx dwvjxvhwdjvxhjdwvxjgvdexhjvdshxvdsjhxvhdjsvxhds
what's is the magnitude of vector i+j+k
I need help please it will mean a lot
Answer:
The answer is B (2).
Step-by-step explanation:
Answer:
2
you replace the w with 30
30/6=5
then you subtract 3
5-3=2
9.3% 1034 What is in scientific notation? 3.1 x 10"
Answer:
Please be more specific?
Step-by-step explanation:
I don't know what you are asking and the way you format the question is quite confusing.
The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=
Answer:
H = -52t + 6455
Step-by-step explanation:
2014 is 14 years since 2000. That gives you the point (14, 5727).
2017 is 17 years since 2000. That gives you the point (17, 5571).
Since we have two points in the line, we can find the equation of the line.
y = mx + b
m = slope = (difference in y)/(difference in x)
m = (5571 - 5727)/(17 - 14) = -156/3 = -52
y = -52x + b
Now we use one of the points for x and y, and we solve for b.
5727 = -52(14) + b
b = 6455
The equation is
y = -52x + 6455
Using H and t, we have
H = -52t + 6455
The relationship between the number of hospitals and the years, is a linear function.
The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]
Let
[tex]t \to[/tex] years since 2000
[tex]H \to[/tex] number of hospitals since 2000
So, we have:
[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014
[tex](t_2,H_2) = (17,5571)[/tex]
Calculate the slope (m)
[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]
This gives:
[tex]m = \frac{5571 - 5727}{17-14}[/tex]
[tex]m = \frac{-156}{3}[/tex]
[tex]m = -52[/tex]
The linear equation is then calculated using:
[tex]H = m(t - t_1) + H_1[/tex]
So, we have:
[tex]H = -52(t - 14) + 5727[/tex]
[tex]H = -52t + 728 + 5727[/tex]
[tex]H = -52t + 6455[/tex]
Hence, the equation H is: [tex]H = -52t + 6455[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
Marcy goal was to collect 10 cans of food for a local food bank. She collected 160 cans use the grid to model to understand how to write this as a ratio, a fraction
Answer:
We're told that Marcy collected 160 out of 10 cans. That could be expressed as 160/10, but given that the numerator and denominator are both divisible by 10, we can factor that out and express it as 16/1. You can also express it as ratio of 16:1 cans collected to cans intended.
Answer:
As a ratio, this is expressed as
✔ 160 to 100
As a fraction, this is expressed as
✔ 160/100
As a percent, this is expressed as
✔ 160%
Step-by-step explanation:
I just did it!
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
7. A restaurant owner wants to see if there is a relationship between the amount of
sugar in some food items on her menu and how popular the items are.
She creates a scatter plot to show the relationship between amount of sugar in menu
items and the number of orders for those items. The correlation coefficient for the
line of best fit is 0.58.
a. Are the two variables correlated? Explain your reasoning.
b. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
a) Yes, the two variables correlated
b) Yes, variation of sugar changes the number of orders for item containing sugar
Step-by-step explanation:
a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7
b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.