Answers
Answer:
[tex] V_{total} = 26460 \pi~cm^3 [/tex]
[tex] V_{total} = 83127~cm^3 [/tex]
Step-by-step explanation:
The solid is made up of 2 cones and a cylinder.
Upper cone:
radius = 21 cm
height = h_1 = 70 cm - 35 cm = 35 cm
Cylinder:
radius = 21 cm
height = h_2 = 35 cm
Lower cone:
radius = 21 cm
height = h_3 = 40 cm
[tex] V_{total} = V_{upper~cone} + V_cylinder} + V_{lower~cone} [/tex]
[tex] V_{total} = \dfrac{1}{3} \pi r^2 h_1 + \pi r^2 h_2 + \dfrac{1}{3} \pi r^2 h_3 [/tex]
[tex] V_{total} = \dfrac{1}{3}(\pi)(21~cm)^2(35~cm) + (\pi)(21~cm)^2(35~cm) + \dfrac{1}{3}(\pi)(21~cm)^2(40~cm) [/tex]
[tex] V_{total} = \dfrac{1}{3}(\pi)(441~cm^2)(35~cm) + (\pi)(441~cm^2)(35~cm) + \dfrac{1}{3}(\pi)(441~cm^2)(40~cm) [/tex]
[tex] V_{total} = (147~cm^2)(35~cm)(\pi) + (441~cm^2)(35~cm)(\pi) + (147~cm^2)(40~cm)(\pi) [/tex]
[tex] V_{total} = 5145\pi~cm^3 + 15435\pi ~cm^3 + 5880\pi~cm^3 [/tex]
[tex] V_{total} = 26460 \pi~cm^3 [/tex]
[tex] V_{total} = 83127~cm^3 [/tex]
Related Questions
help please mathematics
Answers
Two expressions are shown below. Explain whether or not expressions P and Q are equivalent.
P: 2(3x –9)
Q: 6x –9
Answers
Answer:
Not equivalent
Step-by-step explanation:
So basically when it says 2(3x-9) to simplify you need to remove the parentheses so the 2 multiplies both like this; 2×3x + 2×-9= 6x-18
So, 6x-9 is not equal to 6x-18
Answer:
It wouldnt be equivalent
for P, you have to do distributive property.
2×3x equals 6 and then you times 2×-9 which is -18. P= 6x-18. Therefore, it is not equivalent.
Which is the graph of the function f(x) = 1/2x^2 + 2x – 6?
Answers
solve each proportion algebraically. show your work. n/6 = 25/30
Answers
At high tide, the bay is at 10 feet. As the tide recedes it is now at 8 feet. What is the percent change
Answers
If I'm correct the answer would be 8.
Write the ratio 42:24 in its simplest form.
Answers
Answer:
7:4
Step-by-step explanation:
42:24
divide both sides by 6
7:4
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 42 and 24 is 6.
42 ÷ 624 ÷ 6.
Reduced fraction: 74. Therefore, 42/24 simplified to lowest terms is 7/4.
Step-by-step explanation:
(x^b-c)^1÷bc×(x^c-a)^1÷ac×(x^a-b)^1÷ab
Answers
HELP!!!ITS DUE IN AN HOUR
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned in commission.
Answers
Answer:
26.5
Step-by-step explanation:
dont worry I'm actually the salesperson at the jewlery store
Step-by-step explanation:
it is not confrmed answer
commission:106%
Solve for x. Round measures to the nearest tenth
Answers
*I will move straight to the math. If you have questions, ask away! :)
* All calculations are in “degree mode” for a TI calculator or other calculator.
I will apply Laws of Sines/Cosines and inverse functions for your math.
I really need help plzzz
Answers
Answer:
The answer is y=40x because where the line hits a center point on you divide, for example in the picture the line is hitting (1.5,60) so you divide 60 by 1.5 and get 40 :)
please help giving lot of points
Answers
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
$750 loan 7% a year three years of no payments how much interest are you paying?
Answers
Answer:
$157.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 750 × 0.07 × 3 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 750.00
at a rate of 7% per year
for 3 years is $ 157.50.
why wealthy colonists used the Africans as workers? help asp
Answers
Answer:
they provided cheap labour
Step-by-step explanation:
this is because Africans were sold as slaves to the rich colonialists.
HELP ASAP Four times the quotient of 3 and 4.
Answers
Answer:
it is 4
Step-by-step explanation:
all you do is multipla
What is an equation of the line that passes through the points (2, -6) and (1, -1)?
Put your answer in fully reduced form.
60 -
Answers
first find the gradient.
y2 - y1 / x2 - x1 = ((-1) - (-6)) / (1 - 2) = 5 / -1 = -5
Then find the equation of the line
y - y1 = m(x - x1)
y - (-2) = -5(x - 2)
y + 2 = -5x + 10
y = -5x + 10 - 2
y = -5x + 8
So the equation of the line is y = -5x + 8
"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answers
Answer:
y=3x-24
Step-by-step explanation:
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55?
Answers
The selling price should be $88
Given that,
The markup percentage is 60% and the wholesale cost is $55.calculation:= $55 + (60% of $55)
= $55 + $33
= $88
Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
Answer:
88
Step-by-step explanation:
define oayday lenders
Answers
The sum of eight times a number and negative exceeds twelve.
Answers
Answer:8x + -4 > 12
8x > 16
x > 2
Step-by-step explanation:
Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks, as shown. Heads up (H) represents a goal. What is the probability that Isaiah will make both penalty
TH HH TT HT
TH HH HH TT
HT TH TT HH
HT HH HH TT
HT HH TH TT
P(two goals) kicks? Give the probability as a percent. Enter your answer in the box.
Answers
Answer:
35%
Step-by-step explanation:
He made 7 out of 20 goals
7/20=0.35=35%
The probability as a percentage is 20%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Out of the five Trials,
We can see that only one of them has Isaiah making both penalty kicks (TH HH HH TT).
Therefore, the probability that Isaiah makes both penalty kicks is 1/5 or 0.2.
Converting to a percentage,
0.2 x 100
= 20%
The probability is 20%.
Thus,
The probability as a percentage is 20%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
Consider the pyramid below:
12 cm
15 cm
What is the length of a ?
Answers
area of the base=12²----> 144 cm²
area of one lateral triangle=b*h/2
b=12 cm
h=slant height -----> 15 cm
area of one lateral triangle=12*15/2-----> 90 cm²
[surface area of the square pyramid]=144+4*[90]----> 504 cm²
the answer is
the surface area of the square pyramid is 504 cm²
Given m<2 = 55°, find the measure of each missing angle.
Answers
Answer:
1. m<1 = 125°
2. m<4 = 125°
3. m<6 = 55°
4. m<8 = 125°
Step-by-step explanation:
1. 180 - 55 = 125
2. 180 - 55 = 125
3. m<2 = m<6 , m<6 = 55°
4. m<4 = m<8 , m<8 = 125°
6. For a trip to the beach, Kelly drove for 5/6 hour and Joshua drove for 2/5 hour. How much longer did Kelly drive than Joshua? Find the exact amount.
Answers
ANSWER: 13/30 or 26 minute difference
The number of hours Kelly drove longer than Joshua is 13/30 hours.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of hours driven by Kelly.
= 5/6 hours
The number of hours driven by Joshua.
= 2/5 hours
Now,
The difference between the number of hours driven by Kelly and Joshua.
= 5/6 - 2/5
= (25 - 12)/30
= 13/30
Thus,
Kelly drove 13/30 hours longer.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
Solve the equation for x.
4x = 32
A) x =
1
8
B) x = 8
C) x = 28
D) x = 36
Answers
Answer:
B) x = 8
Step-by-step explanation:
4x = 32
4x/4 = 32/4
x = 8
I hope this helps! May I have brainliest pls? :)
The scatter plot shows the number of hours of sleep each night and the number of hours of television watched. Use the scatter plot to complete this statement: A person who watches ________ hours of television would expect to get 12 hours of sleep.
Answers
Answer:
It's 1
Step-by-step explanation:
The x axis is the "Hours of Sleep Each Night"
Look at 12 on the x coordinate
Look at y axis
You then see that A person who watches ____1____ hours of television would expect to get 12 hours of sleep.
Answer:
its 1 because i already had TTM with Mrs.Kajmowics and Mrs.Ortiz
Step-by-step explanation:
The following expression represents the profit made by John as he mows lawns: P = 20L
- 100
Which description correctly interprets each part of the expression?
Answers
its c because i already did that and got it right
the photo says it all
Answers
What is the value of 6x - 3y if x = 5 and y = 1
Answers
Answer:
6x-3y
6(5)-3(-1)
30+3
The answer is 33
Step-by-step explanation:
Brainliest please :)
answer: 27
6×5-3×1
30-3=27
4. Which of the following equations represent
linear function?
O A. y = 3x2
6
B. y = 2
C. y=V x + 6
D. y= }++3
Help fast pls
Answers
Answer:
Can you take picture, please?
What is the quotient in simplest form?
12/7 divided by 3
Answers
Answer:
your answer would be 4/7.
Step-by-step explanation:
divide the 12 by 3 giving 4 ... 4/7