Answer:
Difference = 480.9 in³
Step-by-step explanation:
Given
Cylinder;
Height, h = 3¾ inches
Radius, r₁ = 6 inches
Sphere
Radius, r₂ = 6 inches
The volume of a cylinder is calculated as thus
Volume, V₁ = πr₁²h
The volume of a sphere is calculated as this
Volume, V₂ = 4/3 πr₂³
Calculating the volume of the cylinder
V₁ = πr₁²h becomes
V₁ = π * 6² * 3¾
V₁ = π * 36 * 3¾
V₁ = π * 36 * 15/4
V₁ = π * 540/4
V₁ = π * 135
V₁ = 135π in³
Calculating the volume of the sphere
V₂ = 4/3 πr₂³ becomes
V₂ = 4/3 * π * 6³
V₂ = 4/3 * π * 216
V₂ = 864/3 * π
V₂ = 288π in³
The difference between the volume is calculated as thus.
Difference = V₂ - V₁
Difference = 288π - 135π
Difference = 153π
Take π as 22/7
Difference = 153 * 22/7
Difference = 480.9 in³ (Approximated)
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height\
(Please hurry)
Answer:1 and 2
Step-by-step explanation:
Given
Volume needed [tex]V=220\ in.^3[/tex]
For first cylinder
[tex]r=3\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_1=\pi (3)^2(4)[/tex]
[tex]V_1=113.11\ in^3[/tex]
For second cylinder
[tex]r=4\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_2=\pi (4)^2(4)[/tex]
[tex]V_2=201.08\ in^3[/tex]
For Third cylinder
[tex]r=9\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_3=\pi (9)^2(9)[/tex]
[tex]V_3=2290.51\ in^3[/tex]
For fourth cylinder
[tex]r=4\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_4=\pi (4)^2(9)[/tex]
[tex]V_4=452.448\ in^3[/tex]
So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]
Answer:
1, 2, and 4.
Step-by-step explanation:
Don't forget for these 3 you had to cut the diamiter in half to get the radius.
help me, my brain is in pain.
Answer:
approximately the answer would be D
Step-by-step explanation:
Just multiply side of A to all
Please answer correctly !!!! Will mark brainliest !!!!!
Answer:
7
Step-by-step explanation:
Look at the x-axis at -1, it [-1,7]
n+3=28 what does n equal
Answer:
25
Step-by-step explanation:
Will mark brainliest.
Answer:
I couldnt figure out the irregular polygons, so im sorry
Step-by-step explanation:
2.
[tex]A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in[/tex]
3.
[tex]P=8a=8*3=24cm[/tex]
4.
[tex]A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm[/tex]
5.
[tex]A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm[/tex]
6.
[tex]A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm[/tex]
8.
[tex]A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm[/tex]
9.
[tex]A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm[/tex]
find the value of x
-3=16-x
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
Marley borrowed $5,800 at a siniple interest rate of 7%% per year.After a certain number
of years she had paid $1,305 in interest altogether.How many years was that? *
Answer:
About 3 1/4 years.
Step-by-step explanation:
On a coordinate plane, a line segment contains points (negative 5, 5) and (5, 0). Another segment contains points (negative 1, 1) and (1, 0). The segments shown are dilations of each other about the origin. Which statement could be true? The coordinate (1, 0) is from a dilation using the scale factor of One-fifth. The coordinate (5, 0) is from a dilation using the scale factor of 4. The coordinate (1, 0) is from a dilation using the scale factor of 5. The coordinate (5, 0) is from a dilation using the scale factor of One-fifth.
Answer:
A.The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Give the credit to the other person,
Nina woke up at 8:00 A.M. At noon the temperature had risen 8°F. By 1:00 P.M. The temperature had risen another 4°F. There was a thunderstorm at 4:00 P.M. By 7:00 P.M. The temperature had fallen 11°F since 1:00 P.M. To 62°F. What was the temperature when Nina woke up?
Answer:
61 °F
Step-by-step explanation:
If T is the temperature at 8 a.m., we have ...
T +8 +4 -11 = 62
T +1 = 62
T = 61 . . . . . . subtract 1
The temperature was 61 °F when Nina woke up.
PLSS HELP ME it’s question #9!!!
Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the outside of a circle. If we can find the circumference of the wheel, we can find out how far Elena can travel when her wheel turns one time. If we can find out how far she travels in one wheel turn, we will multiply that distance by 840 to see how far she travels when her wheels turn 840 times.
[tex]C=2\pi r[/tex] and
C = 2(3.14)(.25) so
C = 1.57 m
1.57 x 840 = 1318.8 meters
Solve the system of equations
14x+y=−4
y=3x2−11x−4
Answer:
(x,y)= (-2,24)
Step-by-step explanation:
Answer:
(0,-4) & (-1,10)
Step-by-step explanation:
solve for the first variable in one equation then substitute the result into the other equation.
Point form:
(0,-4) & (-1,10)
Equation form:
x=0 y=-4
x=-1 y=10
Please help
Been stuck for 30 minutes
Will mark as brainliest as soon as possible, answer coreectly please
Answer:
30) A)
31) C)
32) A)
33) A)
34) A)
Step-by-step explanation:
30) Reflection over the x -axis (x,y)→(x,−y)
31) Rotation 180° about the origin (x, y)→(-x, -y)
32) Rotation 180° about the origin (x, y)→(-x, -y)
33) Translation 1 unit left (x, y)→(x-1, y)
34) Rotation 180° about the origin (x, y)→(-x, -y)
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6 m long, 4 m wide, and 2 m high The second aquarium is 8 m long 9 m wide and 3 m high how many cubic meters of space do the sea turtles have in their habitat
Answer:
264 cubic metres
Step-by-step explanation:
We need to find the volume of both aquariums and add them up.
The aquariums are shaped as rectangular prisms.
The volume of a rectangular prism is:
V = L * W * H
where L = length, W = width, H = height
The first aquarium is 6 m long, 4 m wide, and 2 m high. Its volume is:
V = 6 * 4 * 2 = 48 cubic metres
The second aquarium is 8 m long, 9 m wide and 3 m high. Its volume is:
V = 8 * 9 * 3 = 216 cubic metres
The amount of space the turtles have is therefore:
V = 48 + 216 = 264 cubic metres
in a class of 60 student, the number of student who passed biology is 6 more than the number who passed chemistry every student passed both at least one of the two subjects and 8 student passed both subject
Firstly we need to find how many students passed chemistry or biology
60-8=52 studdnts passed biology or chemistry
Let number of students who passed chemistry is x, than number of students who passed biology is 52-x.
[tex]52 - x - x = 6 \\ - 2x = - 46 \\ x = 23[/tex]
So, 23 students passed chemistry, than
23+6=29 students passed biology
Answer: 23 students passed chemistry and 29 students passed biology
Answer:
23 students passed chemistry and 29 students passed biology
Step-by-step explanation:
9 Fill in: is, are, was or were.
1 The house ...
earthquake last week.
destroyed by the
Answer:
was
Step-by-step explanation:
lol
Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.
Answer:
10 feet
Step-by-step explanation:
It becomes a right-angled triangle with height of 8feet and base of 6feet.
Using Pythagoras theorem:
a² = b² + c²
a² = 8² + 6²
a² = 64 + 36
a² = 100
a = √100
a = 10
If f(x) = 6x-4 what is the value of f(8)
Answer:
f(8) = 44
Step-by-step explanation:
f(x) = 6x-4
Let x = 8
f(8) = 6(8) - 4
Multiply
= 48 -4
= 44
An equilateral triangle has what type of symmetry
Answer:
An equilateral triangle has one line of symmetry
Step-by-step explanation:
Answer:
3 lines of symmetry
Step-by-step explanation:
An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.
your welcome<3
work out ⅕ of 80
work out 48÷½
❤︎シ︎✌︎
Step-by-step explanation:
1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.
48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.
Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?
Answer:
1
Step-by-step explanation:
The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.
QUESTION 6,7,8 PLS HELP
Answer:
6) a.
7) d.
8) a.
I hoped this helped! Please mark me brainliest. Thanks!
Matthew Filled a gallon bucket half full with water .He than poured 1/2 of the water.
how much water is left
Answer:
No water
Step-by-step explanation:
Help 50 PTS
Compare the mean of the prices of Felix's books and of Tyler's books. What do the differences in the means tell you about the prices of the two sets of books?
Felix Mean: 10.21
Tyler Mean: 77.36
Answer:
It tells you 2 different things
Step-by-step explanation:
1. It could tell you that Tyler's book is much more expensive than Felix's.
2. It could tell you that they're the same price but Tyler sold more.
Answer:
The means are very different, so almost all of Tyler's books are more expensive than Felix's books.
Step-by-step explanation:
used this for my test and it was correct.
The garden has an area of 28 square meters. The length of the garden is 7 meters. What is the width of the garden?
You have to find the width
Answer:
The answer is 4
Step-by-step explanation:
Since the total area is 28, and the length is 7. Therefore 28 divided by 7 equals 4.
Hope this helps
Answer:
4 meters
Step-by-step explanation:
Let's assume this is a rectangular garden.
The area of a rectangle can be found using:
a=l*w
We know the area is 28 square meters and the length is 7 meters. We can substitute 28 in for a, and 7 in for l.
28=7*w
Now we need to solve for w. To solve, we have to get w by itself. 7 and w are being multiplied. To reverse this, divide both sides by 7.
28/7=7*w/7
28/7=w
4=w
The width is 4 meters
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 9,257.50
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 2,257.50
Step-by-step explanation:
Which number is a common factor of 48 and 72?
A) 7
B) 9
C) 12
D) 16
Answer:
12
Step-by-step explanation:
just do 48 divide by all numbers until you get a answer that is a whole number you can just know that 12 goes into 48
Answer:
24, 12, 8, 6, 4, 3, 2, 1
These r the numbers I got.
Step-by-step explanation:
So I am thinking 12. Because 12 is the only number in the A B C and D. And 12 is up there. So 12.
48 divided by all numbers until you get a answer, in both. Which would be 12.
The senior students have large lockers that line the school's southern hallway in a single row. A group of 7 friends agreed to choose lockers next to each other. How many different ways can the students choose adjacent lockers?
Answer:
84 different ways
Step-by-step explanation:
you have to do
7+6+5+4+3+2+1=28
6+5+4+3+2+1=21
5+4+3+2+1=15
4+3+2+1=10
3+2+1=6
2+1=3
1=1
28+21+15+10+6+3+1=84
84 different ways
A mixture of gases was found to have a total pressure of 950 mmhg gas number 1 has a pressure of 335 mmhg gas number 2 has a pressure of 456 mmhg what is the pressure exerted by gas number 3
Answer:
The pressure exerted by gas number 3 is 159 mmHg
Step-by-step explanation:
To answer this question, the law to Use is Dalton’s law of partial pressure
Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.
Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3
Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg
P3 = Pt-P1-P2
Plugging the values above, we have ; 950-335-456 = 159 mmHg
A game comes with a deck of cards with each card showing one of the numbers 2,3,4,5,6, or 8. Each card occurs one time in red and one time in purple, and one time in blue. Given that a blue card is drawn what is the probability the card is 4
Answer:
0.1667 = 16.67%.
Step-by-step explanation:
We already know that the card drawn is blue, so now we need to check the value of the card.
The blue cards have 6 possibilities of values (2, 3, 4, 5, 6 or 8), and the number 4 appears only 1 time, so the probability of the blue card having the value 4 is the number of times this value occurs by the number of possible values:
P = 1/6 = 0.1667 = 16.67%.
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
26 blocks
Step-by-step explanation:
To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).
Using the distance formula i.e[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
(0,0) to (0,6) is : [tex]\sqrt{(0-0)^2+(6-0)^2}[/tex] = 6 blocks
(0,6) to (7,6) is: [tex]\sqrt{(7-0)^2+(6-6)^2}[/tex]= 7 blocks
(7,6) to (7,0) is: [tex]\sqrt{(7-7)^2+(0-6)^2}[/tex] = 6 blocks
(7,0) to (0,0) is: [tex]\sqrt{(0-7)^2+(0-0)^2}[/tex] = 7 blocks, back home
This totals 26 blocks that Tommy walked.