Answers
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
Related Questions
One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, what is the value of x?
Answers
Answer:
Step-by-step explanation:
All the sides of a square are equal, so:
12x - 5 = 7x + 4
12x - 7x = 4 + 5
5x = 9
x = 9/5
Bliss is collecting money for a fundraiser. She starts with a $2 bronze star donation from her parents, then receives 3 equal silver star donations from her neighbors. If she ends with $18, how much money does she receive from a silver star donor?
Answers
Answer: $5.33
Step-by-step explanation:
Bliss was able to collect $18 in total.
Out of this total, she received a $2.00 bronze star donation and the rest were 3 Silver star donations.
This means that the 3 equal silver star donations added up to:
= 18 - 2
= $16.00
This means that each silver star donation was:
= Amount in total / Number of silver stars
= 16 / 3
= $5.33
4) Twelve students came to class early. This is 40% of our class. How many students are
in our class?
Answers
find the value of given expression
[tex] \sqrt{40000} [/tex]
Answers
Answer:
200
Step-by-step explanation:
have a nice day or evening
Answer:
√40000=√(200)²=200 is your answer
Answer both questions please
Answers
Answer:
I cannot see the x values so I cannot help with part D, but part C is y=3.50x+9.50
Step-by-step explanation:
the question states there is a fee of 9.50 for shipping costs, which is constant. this means it will be the y intercept in addition, since each shirt costs 3.50 each, the equation is y=3.50x+9.50
If a triangle has A as 4 and B as 13, but C, the hypotenuse, is missing, what is C? I already got to square root of 185 but i don't understand what to do because you can't simplify it, please show your work/explain it
Answers
Answer:
C = √185 or 13.6 units.
and cannot be simplified any further because it is irrational.
Step-by-step explanation:
Since the triangle has sides A = 4 units and B = 13 units. With C as its hypotenuse side, from Pythagoras' theorem C² = A² + B².
So, substituting A and B into the equation, we have
C² = 4² + 13²
C² = 16 + 169
C² = 185
taking square root of both sides, we have
√C² = √185
C = √185
C cannot be simplified any further because it is irrational. It is best expressed as √185 which is a surd. C could also be expressed as a decimal. So using your calculator and taking √185, C = √185 = 13.605 ≅ 13.6 units.
A cone shaped party hat has a radius of 3 inches and a height of 6.5 inches. Find the number of cubic units that hat occupies?
Answers
Answer:
61.25
Step-by-step explanation:
The of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.
What is of volume of cone?Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
A cone-shaped party hat has a radius of r=3 inches and a height of h=6.5 inches. The amount of cubic units it occupies is equal to the volume of hat.
Thus, put the values in the above formula as,
[tex]V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=61.26\rm\; in^3[/tex]
Thus, the of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.
Learn more about the volume of cone here;
https://brainly.com/question/26666727
#SPJ2
find the value of given expression
[tex] \sqrt{31 \times 31} [/tex]
Answers
Answer:
31 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
[tex]\sqrt{31\times31}[/tex]
Multiply 31 × 31= 961
[tex]961=31^2[/tex]
[tex]=\sqrt{31^2}[/tex]
[tex]=31[/tex]
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plsssssssss help me ill gibe you brainlest
Answers
Answer:
B
Step-by-step explanation:
Help for a free 20pts.
No links please. Just answer the question and take the points.
(Btw if number 7 is wrong correct it for me and I'll make you brainliest)
Answers
Answer:
Okay, so I checked on my calculator, and 5,6, and 7 are right
Step-by-step explanation:
Number 8 would be 45 degrees. Both of the missing angles would be 45 degrees
Those two lines on either side of the triangle mean both of the angles are the same.
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
Answers
Answer:
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
$3.12
What do I do in this problem?
Answers
Answer: p=60
Step-by-step explanation:
Angles on a straight line always add up to 180 degrees.
So, because you have an angle on the straight line with the arrow going up, you have to do:
180-110=70
This will give you the angle inside of the triangle that is next to 110.
Then you would find the angle next to 130 (using the horizontal line) by using the same method so you would do:
180-130=50
This gives you the angle inside the triangle next to 130.
Then because a triangle always adds up to 180 you would add up the 2 angles you have figured out like this:
70+50=120
Then you would take the answer away from 180 like this:
180-120=60
So, p=60
Hope this helps :)
Tanner and Zach both play basketball. In a game, Tanner scored six points. Zach scored four times as many times as Tanner. How many points did Zach score?
Answers
Answer:
24
Step-by-step explanation:
Tanner has 6 points so T = 6
Zach has four times as many so Z = 4T
4 * T
= 4 * 6
which is 24.
PLZZZZZZZ HELLLPPPPPPPP
Answers
is your pfp lil nas x from his new music video
.................
w<-1
i need to find what takes the question marks place. help please i have limited time. i’ll give good review.
(10x^2+10x^3-9x^4)-(4x^3+?-8x^2)=-19x^4+6x^3+18x^2
Answers
What is the value of X?
4
4√2
8
8√2
Answers
Since this is a special right triangle (45-45-90), the hypotenuse will equal either of the length of either congruent leg times the square root of 2. So, in this problem, the leg that is 4 SQRT2 can be multiplied by SQRT2 to equal 8, the length of the hypotenuse, or x.
pls help im confused
Answers
Answer:
5 and 100
8 and 160
9 and 180
12 and 240
Step-by-step explanation:
Since for every one sweatshirt there is $20 collected. Simply plug this in and do the multiplication and division.
5x20 = 100
8x20 = 160
180/20 = 9
12x20 = 240
Answer:
3, 5, 8, 9, 12
60, 100, 160, 180, 240
Step-by-step explanation: the only values that you have full information for is the first column
3, 60
to get from 3 to 60 you would multiply by 20, so for the next column multiply 5 by 20 to get 100
then 8, 160
for the fourth column you would just divide 180 by 20, 9
and finally for the last column you would multiply 12 by 20 to get
240
three odd consecutive integers are such that 3 times the smallest is 9 more than twice the largest .find the three numbers
Answers
Answer: 17, 19, 21
Step-by-step explanation:
Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)
Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)
Now the second equation:
3x = 2(x+4) + 9
three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9
Now solve
3x = 2(x+4) +9
3x = 2x + 8 + 9
3x = 2x + 17
x = 17
x+2 = 19
x+3 = 21
Pythagoras Theorem
A. x=5
B. x=2square root of 1
C. x=square root of 34
D. x=2square root of 61
Answers
9514 1404 393
Answer:
B. x = 2√11
Step-by-step explanation:
The square of the length of the diagonal is ...
d² = 6² + 8² = 36 +64 = 100
Then the length of x is found from ...
d² +x² = 12²
x² = 144 -100 = 44 . . . . . subtract d²
x = √44 . . . . . . take the square root
x = 2√11
find the length of missing side x
Answers
Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24
Step-by-step explanation:
Help Needed!! Find The Value Of X (Geometry)
Answers
Jarod took a survey of the number of 6th grade students that played sports. Twenty students played tennis, eighty students played football, fifteen students played volleyball and ten students played golf? What percent of the students played volleyball or golf?
Answers
Answer:
8% played golf and 12% played volleyball
Step-by-step explanation:
add the total number of. student, 125, then write as fraction, 10/125 and 15/125, then convert to percentage
find the value of x. Round the length to the nearest tenth.
Answers
Answer:
Consider the given right triangle. We have to find the value of 'x'. So, the value of 'x' is 9.2 cm. Option 3 is the correct answer.
Step-by-step explanation:
What would be the measure of angle J?
Answers
Answer:
5q I would say
Step-by-step explanation:
As
3
x
−
q
=
5
q
, adding
=
q
on both sides, we get
3
x
−
q
+
q
=
5
q
+
q
or
3
x
=
6
q
, now multiplying both sides by
1
3
, we get
3
x
×
1
3
=
2
6
q
×
1
3
or
x
=
2
q
The area of a rectangular dance floor is 8 1/4
square yards, and its width is 3 1/2 yards. What is the patio's length in yards
A 54
B 2
C 4:
D 5
Answers
Answer:
2 5/14 yards
Step-by-step explanation:
Area of the rectangular floor = Length * Width
Given
Area = 8 1/4 square yards
width = 3
1/2 yards
Required
Length
Length = Area/width
Length = (8 1/4)/(3 1/2)
Length = 33/4 ÷ 7/2
Length = 33/4 * 2/7
Length = 33/14
length = 2 5/14 yards
This gives the required length
What is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters
Answers
Answer:
C
Step-by-step explanation:
first cube :
4 × 3 × 6 = 72 m³
second cube :
4 × 4 × 4 = 64 m³
sum of both cubes :
72 + 64 = 136 m³ ( C )
You can model an arch at your school using the equation $y=-0.5\left(x+4\right)\left(x-4\right)$ , where $x$ and $y$ are measured in feet. The x-axis represents the ground. Find the width of the arch at ground level.
Answers
Answer:
8feet
Step-by-step explanation:
Given the equation that models the arch of a school expressed as;
[tex]$y=-0.5\left(x+4\right)\left(x-4\right)$[/tex]
If the x axis represents the ground;
At the ground level, x = 0
Substitute x = 0 into the equation to get y;
y = -0.5(0+4)(0-4)
y = -0.5(4)(-4)
y = -0.5 * -16
y = 8ft
Hence the y axis at the ground level is 8feet
A rectangle has an area of 16in^2 and a perimeter of 20 in. Find the dimension of the rectangle.
Answers
Answer:
8 in x 2 in
Step-by-step explanation:
8 x 2 = 16
8 + 8 + 2 + 2 = 20
I NEED HELP PLS SOMEONE HELP ME!!!!
Answers
Answer:
126 centimeters squared
Step-by-step explanation:
PLEASE ANSWER THIS FOR MEEEEE
Answers
Answer:
23°
Step-by-step explanation:
sin ∠N= OP/NO= 19/49
⇒∠N ≈ 23°