Answer:
Equal volumes
Step-by-step explanation:
Given
[tex]h \to[/tex] height of cone
[tex]d \to[/tex] diameter of cone
[tex]H \to[/tex] height of cylinder
[tex]D \to[/tex] diameter of cylinder
Such that:
[tex]d = 2D[/tex]
[tex]h =\frac{3}{4}H[/tex]
Required
The relationship between the volumes
The volume of a cylinder is:
[tex]V_1 = \pi R^2H[/tex]
Where
[tex]R = 0.5D[/tex]
So:
[tex]V_1 = \pi (0.5D)^2H[/tex]
[tex]V_1 = \pi *0.25*D^2H[/tex]
[tex]V_1 = 0.25\pi D^2H[/tex]
The volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Where
[tex]r =0.5d[/tex]
[tex]r = 0.5 * 2D[/tex]
[tex]r = D[/tex]
and
[tex]h =\frac{3}{4}H[/tex]
So, we have:
[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]
[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi D^2H[/tex]
So, we have:
[tex]V_1 = 0.25\pi D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_1 = V_2[/tex]
Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
a pizza pan has a circumference of 34.54 inches. you are making homemade pizza crust and need to know the area pf the pan to determine how much dough to make what is the area of the pan
In grade 8, there are 3 teachers for every 25 students. In the examination hallthe ratio of teachers to students is 15:125, Which of the following is true?
Answer:
3:25 = 15:125
15:125 is directly proportional to 3:25.
Step-by-step explanation:
Please dont skip!! Answer please. Will give branliest. NO LINKS PLZ
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Area of upper right rectangle
3(6)18in²Area of top rectangle(square actually)
2(2)4in²Area of bottom rectangle
5(2)10in²Area of semicircle
πr²/2π(6+4/2)²/2π25/212.25π38.465in²Area of middle rectangle
2(10)20in²Total
18+4+10+38.465+2090.465in²I need help with finding the volume of this rectangle and also what formula you used so I can understand it. Thanks
Answer:
Step-by-step explanation:
Equation
The volume formula is
V = L * W * H
Givens
From the diagram
L = 6 mi
W = 2 mi
H = 5 mi
Solution
V = 6 * 5 * 2
V = 60 cubic miles
PLEASE HELP! i would really appreciate it thank you
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4.
The area of the resulting triangle is ___ square cm.
Answer:
7
Step-by-step explanation:
2. Which of the following is the formula in solving for the area of
a circle?
A. A= 2TTI B. A= T12
C.A= id D. A=2 TT12
2
Thodi
Answer:
πr²
Step-by-step explanation:
Answer:
formula- TTr2
Trina is trying to decide which lunch combination to order at a sandwich shop: 4, 5, 6, or 7. Each combination comes with the choice of an apple, an orange, or a pear. How many possible outcomes are there for a lunch combination and a piece of fruit? 4 apple orange pear 5 apple orange pear 6 apple orange pear 7 apple orange pear Type the answer in the box.
What is the equation of the line perpendicular to y = -x+6 that passes through the
2
point (4, 1)?
Answer:
[tex]y=x-3[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)1) Determine the slope (m)
[tex]y = -x+6[/tex]
Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (4,1)
[tex]1=4+b[/tex]
Subtract 4 from both sides
[tex]1-4=4+b-4\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=x+b[/tex]:
[tex]y=x-3[/tex]
I hope this helps!
please please help me
1 . 6 8 10
2. 18 24 30
3. 10 5 5√5
4. 5 5 5√2
5. a a a√2
6. 3√3 3 6
find the minimum of the data set.
Answer:
23,600.
Step-by-step explanation:
23|6
WILL MARK AS BRAINLIEST!! ASAP
if y is inversely proportional to x and y = 7 when x = 9, find x when y = 14.
what is n x 567 =
457 + ae
wgv - 48765
Answer:
n x 567= 567n
457+ae= 457 + ae
wgv- 48765= wgv- 48765
Step-by-step explanation:
The last 2 are the same. Since they are not like terms, they can neither be added nor subtracted. Only like can be added or subtracted
The table shows the distances of some places in town
from the school.
From least to greatest, order the locations by their
distance from school. From least to greatest ordered the locations by their distance from school. 1.Library- 3/5m 2.Post Office 1/2m 3.Park 3/4m 4.8/10m
PLEASE HELPNI AM BEGGING YOI PLEASE!!!!!!! EXTRA POINTS AND BRAINLIEST!
Answer:
This is really tilted, and I CANNOT see! But it looks like ratio, on one of the parts. Sorry, but I don't know!
What is the length of AE?
Answer:
1.5
Step-by-step explanation:
3/2
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....4
Select the correct answer.
Which of the equations below represents a line parallel to the yaxis?
A. X= -y
B. X= 4y
C.x=y
D.X= 4
HELP
Answer:
x=4
Step-by-step explanation:
The y axis is a line where the value of x does not change ( x=0)
It is a vertical line
The only line where the value of x does not change is x=4
It is a vertical line at x=4
Help a n i -g g -a plz
Answer:
187.2 cm3
Step-by-step explanation:
that are many anseers
7. The cone shown below has a radius of 9 centimeters and a height of 12
centimeters. What is the volume of the cone?
A
Plz help meeeeee…. I need to pass this
54 =. x6 picture included
i really need help asap show all work
Note: Consider we need to find the factor form of the given expression by taking out the GCF.
Given:
The expression is:
[tex]-42k^3+24k^4+12k^5[/tex]
To find:
The factor form of the given expression.
Solution:
We have,
[tex]-42k^3+24k^4+12k^5[/tex]
It can be written as:
[tex]=6k^3(-7)+6k^3(4k)+6k^3(2k^2)[/tex]
Taking out the greatest common factor (GCF), we get
[tex]=6k^3(-7+4k+2k^2)[/tex]
Therefore, the factor form of the given expression is [tex]6k^3(-7+4k+2k^2)[/tex].
Solve for t.
3t- 2 = -11
A. -12
B. -11
C. -9
D.-3
Answer:
T = -3
Step-by-step explanation:
No explanation needed ...
An algebraic inequality is written in words. Which choice matches the statement?
"The product of 15 and a number, increased by 8 is at most 44."
A. 15n + 8 < 44
B. 15n + 8 > 44
C. 15n + 8 ≤ 44
D. 15n + 8 ≥ 44
Answer:
c
Step-by-step explanation:
it wouldnt be greater than or equal to because it says is at most so that means less than or equal to hope this helps
I need help please, I’m stuck
Answer:
x = 15
Step-by-step explanation:
Jack bought a motorbike the original price was $1800 but he got a discount of 15% what was the discounted price of the bike
Answer:
$1530
Step-by-step explanation:
Hi there!
What we know
Original price was $1800There was a discount of 15%If this motorbike was on sale for 15% off, then we know that its discounted price is 85% of the original price (100-15=85)
Then, to find the discounted price, we multiply 1800 by 85%:
1800 × 85%
Change 85% into a decimal
= 1800 × 0.85
= 1530
Therefore the discounted price of the motorbike was $1530.
I hope this helps!
Here is a triangular prism. 4 cm 10 cm 5cm 5cm 6cm
A. What is the volume of the prism, in cubic centimeters?
B. What is the surface area of the prism, in square centimeters?
Answer:
(A) 120 cm³
(B) 184 cm²
Step-by-step explanation:
(A)
Assuming the diagram attached is thesame as the one needed to complete the question,
Applying
V = A'×L................... Equation 1
Where V = volume of the prism, A' = Area of the triangular base, L = Length of the prism.
But,
A' = 1/2bh............. Equation 2
Where b = base of the triangle, h = height of the triangle.
Substitute equation 2 into equation 1
V = 1/2bh(L)............... Equation 3
From the question,
Given: b = 6 cm, h = 4 cm, L = 10 cm
Substitute these values into equation 3
V = 1/2(6×4×10)
V = 120 cm³
(B)
Surface area of the prism(A) = bh+L(a+b+c).............. Equation 4
Given: b = 6 cm, b = 5 cm, c = 5 cm, L = 10 cm, h = 4 cm
Substitute these values into equation 4
A = (6×4)+10(5+5+6)
A = 24+160
A = 184 cm²
SOMEONE HELP WITH THIS PLS
Answer:
0.1218
Step-by-step explanation:
If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, red blue orange or green, not red
Answer:
Step-by-step explanation: There are 12 colours on a spinner,
Probability of red,orange, blue or green = 1/12×4 =4/12
=1/3
Probability of red,blue, orange or green= 1/12×4=1/3
Probability of not red= 1-1/12
=11/12
BRAINIEST TO WHOEVER RIGHT