Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.
Answers
Answer:
52.36
Step-by-step explanation:
Formula to find volume in a cone is
V = pi • radius^2 h/3
So we fill in the numbers
V = pi •
the radius is half of diameter,
The diameter is 5
So it's
V = pi • 2.5
since it's half of 5
V = pi • 2.5^2 h/3
the height is 8 so we fill it in
V = pi • 2.5^2 8/3
When calculated, you get..
52.36
The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]
Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.
Here, the diameter of the cone is 5 cm. thus the radius of the cone is,
[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]
The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,
[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]
Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
Learn more about the volume of solid here;
https://brainly.com/question/1355179
Related Questions
Ann has two more than twice the amount of toffees Mary has. Total number of
toffees among them is 11. (i) Assuming the number of toffees Mary has is x, build up an equation.
Answers
Answer:
SO THE EQUATION IS
2 + 2X = 11
find the length of the bold arc. Round your answer to the nearest tenth.
Answers
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]
Therefore, we get;
[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]
[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
Which equation represents a nonlinear function?
Help please!!!
Answers
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?
Answers
Answer:
the sale price is £76
Step-by-step explanation:
The computation of the sale price is shown below:
= Original price - original price × off percentage
= £80 - £80 × 5%
= £80 - £4
= £76
Hence, the sale price is £76
The table shows the height of a ball, h(t), after t seconds. The data can be modeled using a quadratic regression equation.
Time (s) 1 2 3 4
Height (ft.) 88.7 139.9 158.9 146.1
Approximately when will the ball hit the ground?
0 s
5.2 s
6.3 s
7.5 s
Answers
Answer:
6.3 seconds
Step-by-step explanation:
Make a table
What is the rate of change of the function represented by the table? X 1 2 3 4, Y 5 5 5 5.
0
1
4
5
Answers
Answer:
Rate of change looks to be 0
Answer:
A or in other words its 0
Step-by-step explanation:
find the value of x in each triangle. show your work on a separate piece of paper
Answers
Answer:
x = 65
Step-by-step explanation:
straight line = 180 degrees
so
180 - 165 = 25
90 + 25 = 115 degrees
180 - 115 = 65 degrees
so
x = 65
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
HELP PLEASE I NEED HELP ASAP IM TIMED
Answers
Hope this helps
Answer:
30 degree's
Step-by-step explanation:
Becuase the rule is GFH(2)+EFH
And GFH+EFH+90 the only solution is 30 and 60.
A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and
a height of 5 centimeters. What is the surface area of the prism?
104 sq cm
120 sq cm
60 sq cm
72 sq cm
Answers
Answer:
104cm^2
Step-by-step explanation:
Given data
Length= 6cm
Width=2cm
Height= 5cm
The expression for the surface area of a rectangular prism is given as
SA=2lw+2lh+2hw
Substitute
SA=2*6*2+2*6*5+2*5*2
SA= 24+60+20
SA=104cm^2
Hence, the SA is 104cm^2
What’s the perimeter
Answers
Answer:64
Step-by-step explanation:
Answer:
64 is the answer :)
Step-by-step explanation:
i hope its correct
Question 9
Estimate the square root of 6 rounded to the nearest tenth
Answers
Answer:
2.4
Step-by-step explanation:
Step 1: Calculate
Calculate the square root of 6 to be:
√6 = 2.44948974278318
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
2.44
Step 3: Round
Round 2.44 so you only have one digit after the decimal point to get the answer:
2.4
A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Answers
Answer:
52 photos per hour
Step-by-step explanation:
8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52
Answer:
A) 52
Step-by-step explanation:
What can you use to prove ABE = CDE
Answers
Answer:
its ASA
Step-by-step explanation:
can someone please answer my question from my profile?
Answer:
AAS
Step-by-step explanation:
In addition to the side and angle given, there is another angle shared, which are the vertical angles. .
By AAS, (non-included side) they are congruent
10 NEED HELP ASAP WILL GIVE BRAINLY
Answers
Answer: Choice A) 8x+2 = 14x-76
==============================================================
Explanation:
Since lines A and B are parallel, this makes the corresponding angles (8x+2) and (14x-76) to be equal.
So the equation we need to solve is 8x+2 = 14x-76
If you solve that equation, you should end up with x = 13. Plugging x = 13 into either 8x+2 or 14x-76 would lead to the result of 106. So each corresponding angle is 106 degrees.
Answer:
8x+2=14x-76
(the first answer)
Step-by-step explanation:
Corresponding Angles
Help please!!!!!!!!!!!
Answers
Answer: x = 12, ∠B = 45°
Step-by-step explanation:
Angle A and Angle B are alternate exterior angles meaning that they are equal
5x - 15 = 2x + 21
3x - 15 = 21
3x = 36
x = 12
B = 2(12) + 21
B = 24 + 21
B = 45
25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?
Answers
Find the unit rate.Round to the nearest hundredth,if necessary. 370 for 12 ft2. The unit rate is $ _______/ft2 I NEED HELP!!!
Answers
Answer:
30.80
Step-by-step explanation:
$370/12ft^2
hope this is helpful ! stay safe, God Bless you and your family...!
I don’t get this i need help
Answers
Answer:
a
Step-by-step explanation:
Answer:
Answer=(X + 5, Y - 4)
Step-by-step explanation:
X + 5 means you move to the right 5 places then Y - 4 means you move down 4 places.
Show that the area of this pentagon can be written as 5x2 - 4x - 12.
All measurements are in centimetres.
Answers
the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.
Answers
Step-by-step explanation:
the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter
2(4x+1)+2x=92
8x+2+2x=92
10x=90
x=9
width=x=9
length=4x+1=4(9)+1=37
Hope that helps :)
Can someone please help me answer this??
Answers
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.
Answers
Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)
Step-by-step explanation:
If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8
Answers
Answer:
15/8
Hope it helps
Please mark me as the brainliest
Thank you
Devon has 3 gallons of water in a large container. He begins to fill up glasses that each hold 1/8 gallon of water. How many glasses can he fill up until the water runs out?
A. 1 1/2
B. 4
C.1 2
D. 24
I need this awnser soon Please help!!!!
Answers
Answer:
its a
Step-by-step explanation:
Answer:24
Step-by-step explanation:3 divided by 1/8 is just 3 multiplied by 8
Please Help...........
Answers
Billy flipped both where the numbers go, and in which order they should be in.
It should be -5-5 / -2-2 giving you zero (0).
A stone pyramid in Egypt has a square base that measures 160 m on each side. The height is 91 m. What is
the volume of the pyramid?
Answers
Volume = (base area x heigh)/3
base area = 160m x 160m
base area = 25600 m²
Volume = (25600 m² x 91 m) / 3
Volume = 776533.333 m³
Answerthe volume is 776533.333 m³
Hiiioo! Can someone please help me with this math question ❤️
Answers
Answer:
your answers will be
<E=25
M<F=65
M<G=90
Step-by-step explanation:
i hope it helps
have a nice day!!
9. Find the value of x.
(look at the picture)
Answers
Answer:
use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).
Step-by-step explanation:
15. In a class if 75% of students own a bicycle, then percent of the students
do not have bicycles is???
Answers
Answer:
100%-75%= 25%
Step-by-step explanation:
100%= whole class
75%=students that own a bicycle
25%=students that do not have a bicycle
PLEASE HELP!!!! (exponential decay/growth) .
Answers
Answer:
B or 2nd answer.