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
Devin reads 2 pages of a book every 3 minutes. Which proportion could be solved to find x, the number of minutes it will take to read 6 pages?
Answers
Answer: The answer would be 2/3 = x/9
It would take 9 minutes to read 6 pages as per the proportional relationship.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2
Now,
Put y = 6
x/6 = 3/2
x = 9 minutes
Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.
Learn more about proportionality here: https://brainly.com/question/22620356
#SPJ6
Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.
Answers
Answer: B
Step-by-step explanation:
is it A, B,C, or D? i need help asap
Answers
Answer:
C
Step-by-step explanation:
If x=0 is 2010, you can infer that x=6 would be 2016.
From there, you just have to find the correlating y-value (38).
Can you guys help I'm having trouble.
Answers
Answer:
given radius =6
Area of triangle =1/2*base*height
=1/2*6*6=18
area of quadrant =1/4πr^2
=1/4*22/7*6*6=22/7*9=198/7=28.2
area of shaded region =area of quadrant -area of triangle
=28.2-18=10.2
I'll give u brainliest if u answer it
Answers
Answer:
i think its A
Step-by-step explanation:
But if i am incorrect i apologize
3w+16>6+4w
I’ll mark brainless
Answers
Answer:
w<10
Step-by-step explanation:
I am really tired and I dont feel like showing all my work, unless you want me to then just ask
Answer:
3w+16=0>6+4w=0
3w=-16>4w=-6
w=-16/3>w=-6/4
w=-16/3>w=-3/2
ASAP ILL MARK BRAINLIEST!!!!!!
Answers
X. 60% of student voting for Joan
X=1280•60/100
X=768
find the amount of money in an account after 11 years if $7000 is deposited at 9% annual interest compounded as follows
Answers
Answer:
The law companies that value excessive ethics comply with the legal guidelines not solely in letter however go past what is stipulated 1 My proudest accomplishment is organizing
The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m
Answers
Answer:
12 deg
Step-by-step explanation:
The change in temperature is the new temperature minus the old temperature.
0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg
The change in 12 deg.
A
B
What is the distance between Points C and
D?
-4 units
4 units
6 units
2 units
Math homework PLS HELP What is the distance between points C and D?
Answers
Explanation
Cause it’s just 6 units
help me fast and i'll mark you brainliest please
Answers
Step-by-step explanation:
[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]
find the exact value of x.
Answers
Answer:
9*√3
Step-by-step explanation:
The exact value of Sin60 = √3/2
Sin(60) = opposite side/ hypotenuse
hypotenuse = 18
√3/2 = x / hypotenuse
√3 / 2 = x / 18 multiply by 18
18 √3 /2 = x divide by 2
9 √3 = x
Determine the y intercept I don’t know how please help
Answers
Answer:
(0, -2)
Step-by-step explanation:
Since line is intersecting y axis at point (0, - 2)
Hence, y-intercept = (0, - 2)
1
0. Multi-Step Nathanial has a dog walking
business. He charges $3 for every 15 minutes
of walking. How much will Nathanial charge to
walk a dog for one hour?
Answers
Answer:
Nathanial will charge $12
Step-by-step explanation:
If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.
Help ASAP
I’ll mark brainless
Answers
Answer:
C
Step-by-step explanation:
it lacks the inequality signs
PLEASE HELPPPP ITS DUE IN 20 MINNNN
Answers
Answer: 2cm is the radius and 10 cm is the diameter.
Answer:
2 is the radius and 10 is the diameter!
Step-by-step explanation:
Good luck buddy!
Find the area........
Answers
Answer:
6) 121.2 sq meters
7) 40 sq ft
8) 70 sq meters
Step-by-step explanation:
#6 and 7: base x height
#8: base x height / 2
Ms. Abreau is flying to Florida for the 90° Angle Conference, where the temperature s just right. Her plane is 1200 feet in the air and the runway is 3400 feet horizontally away. What is the angle of depression formed from the plane to the runway ? Round to the nearest tenth if necessary and just the number please in your answer, we know it is degrees.
Answers
Answer:
19.4 degrees
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
Given
Height of plane from the ground= 1200 = adjacent
Horizontal distance = 3400ft = Adjacent
Required
angle of depression theta
tan theta = opp/adj
tan theta = 1200/3400
tan theta = 12/34
tan theta = 0= arccos.3529
theta= (0.3529)
theta = 19.4 degree
Hence the angle of depression is 19.4 degrees
SOME ONE HELP PLZZ Find the answers to the following multiplication problems without using a calculator. Reduce
the product to their lowest terms and change improper fractions to mixed numbers.
3/4 x 7/8
Answers
6/8 x 7/8
21/32
How many decks have fewer than 1 joker?
Answers
Answer:
32
Step-by-step explanation:
A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?
Answers
QUESTION IN THE PICTURE
HALPPPPP
Answers
Answer:
All real numbers
Step-by-step explanation:
All vertical parabolas have a domain of all real numbers
Write an equation in point-slope form of the line that passes through the point (
3,-1)
and has a slope of -2
Answers
Answer:
Look below.
Step-by-step explanation:
Point slope fromula: y-y1=m(x-x1)
First we have to plug in our points and slope into the formula.
3 will be plugged into x1 while -1 will be plugged into y1.
Since m represents slope we will plug in -2 into m.
Answer: y+1=-2(x-3)
) tan C
с
45
36
to
27
А
Answers
Answer:
36. 1193 or 33.12 degrees rounded
Step-by-step explanation:
Tan = opp/adj
Tan C = 27/37
Tan inverse (.729 . . .) = C
= 36. 1193 or 33.12 degrees rounded
Suppose you deposited $200 in a savings account 4 years ago. The simple interest rate is 2.1%. The interest that you earned in those 4 years is $16.80. Which of the following is/are true? Select all that apply.
A. r = 2.1%
B. t = 4
C. p = 16.80
D. l = 200
Answers
will mark brainliest and rate 5/5
Answers
Answer:
Option D, $2.71
Step-by-step explanation:
Step 1: Figure out the height
[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]
[tex]29.16 + b^{2} = 295.84[/tex]
[tex]b^{2} = 266.68[/tex]
[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]
[tex]b = 16.33[/tex]
Step 2: Figure out the area
[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]
[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]
[tex]A = 454.77[/tex]
Step 3: Figure out the price
[tex]454.77 * 0.006[/tex]
[tex]2.72862[/tex]
Answer: Option D, $2.71
Please can someone answer this question, I never understand these and would like to know how to do them... QUESTION ATTACHED
Answers
Answer:
sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)
45 = 9 *5 "9" is a perfect square so
sqrt (45) = 3 * sqrt (5) * sqrt (2)
sqrt (2) * sqrt (80)
80 = 16 * 5 "16" is a perfect square so
sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)
Adding both answers we get
3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)
PLUS
4 * sqrt (10)
which equals
7 * sqrt (10)
SO, the value of a is 7
Step-by-step explanation:
Solve for x. Round all answers to the nearest tenth
Answers
arc-length =
in
Please help
Jason opens a savings account with $50. Each week
after, he deposits $25. In how many weeks will he have
saved $450?
Note: Deposit means he adds money into his account.
Find the number.
Answers
Answer:
16 weeks
Step-by-step explanation:
John is buying a new computer for $550.00. He has a coupon to receive 15% off. How much, in dollars, is his discount?
Answers
Answer:
$82.50 is the discount.
Step-by-step explanation:
550 x .15 = $82.50
Hope that helps!