Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?
Answers
Answer:
123 inches³
Step-by-step explanation:
Hi there!
Objective: Find the volume of the cone
We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.
Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the cone and h is its height
Plug in the known information (r=3 and h=13)
[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]
Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.
I hope this helps!
Related Questions
From the roof of a house the angle of depression of
the top of a tree 20 ft. high was found to be 30°. If
the distance between the house and the tree is
10√2 find the height of the house.
Answers
Answer:
GB = CD = 20 ft, GC = BD = 10√3 ft, ∠FAC = 30°, AB = ? Or, AG = 10 ft. hence, the height of the house (AB) = 30 feet is the required answer.
What is the difference of 100 and 10
Answers
Answer:
The difference of 100 and 10 is 90.
Step-by-step explanation:
Answer:
the difference of 100 and 10=100-10=90
Pls help I’ll brainlest
Answers
Answer:
(D) 13/15
Step-by-step explanation:
Well there are 15 marbles in total.
There are 2 marbles that are blue
The qusection asks for the probability of NOT a blue
so 13/15
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answers
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)
Answers
Answer:
69 over 420
Step-by-step explanation:
trust me
How many hours of training would you need to have a salary of $2,620?
Answers
Answer:
80 Hours
Step-by-step explanation:
The Salary increases 200$ per 10 hours
Answer:
80 hours
Step-by-step explanation:
2620/122=10+70=80
Plz help!!!
Which equation represents the graph?
Answers
Answer:
Option C : y=|x|-6
Step-by-step explanation:
Plz need help fast.....
Answers
Answer:
See Below
Step-by-step explanation:
1: -9 Take the Square Root of 81 and then multiply by -1.
2: +- 1/3 1/3 *1/3= 1/9
3: -1 -1*-1*-1 = -1
Have a Great day!
A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. counties. The researcher plans to regress national income per capita on whether the country has a strong legal system or not (an indicator variable taking the value 1 or 0, based on expert opinion). Do you think this regression suffers from omitted variable bias
Answers
Answer:
Based on expert opinion the regression does not suffer from omitted variable bias
Step-by-step explanation:
Based on expert opinion the regression does not suffer from omitted variable bias because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system and 0 would represent not taking action by the legal system. as
The researcher plans to regress national income per capita based on the effect of the legal system
applying the formula for addressing omitted variable bias ( attached below )
Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Answers
Answer: c is the answer
C: 0.560
Step-by-step explanation:
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answers
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
Answers
I just multiple 998 by 0.025 to get 24.95
2.5%=0.025
I WILL GIVE BRANLIY IF YOU ARE RIGHT
Answers
Answer:
B
Step-by-step explanation:
Answer:
9%
Step-by-step explanation:
Can someone please help me with these two I will mark u brilliant
Answers
Answer:
The first answer is $4.97. The second answer is 1 over 16.
Step-by-step explanation:
For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.
For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.
If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?
Answers
Answer:
We write 4 times 4 because it includes 34,44,54,64in the data.
You would write 6 times the digit 4.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
You write all numbers from 30 to 65 including 30 and 65.
And in between there are following numbers that have digit 4:
34, 40, 44, 54 and 64.
That means, we wrote 6 times digit 4.
Therefore, digit 4 would be written 6 times.
To learn more about the integers;
brainly.com/question/1768254
#SPJ2
A desk that is originally $130 is discounted by 45%. What is the sale price?
Answers
Answer:
$71.5
Step-by-step explanation:
130* (1-45%)
Answer:
$71.5
HOPE THIS HELPS :)
Sadie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 316 people went to The Youth Wing, 497 people went to Social Issues, and 460 went to Fiction and Literature. On Sunday, the library had 1400 total visitors. Based on what Sadie had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number..
Answers
Answer:
347Step-by-step explanation:
Total visitors on Saturday:
316 + 497 + 460 = 1273Proportion of people who went to The Youth Wing on Saturday:
316/1273 = 0.248Expected number of people to visit The Youth Wing on Sunday:
1400*0.248 = 347 (rounded)Find the measure of 45.
65 = [?]
697
45
Enter
Answers
Answer:
Solution given:
<5+69=180°[co- interior angle]
<5=180°-69°=111°
<5=111°
Same side ineterior angles aree supplementary
<5+69=180<5=180-69<5=111°line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answers
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
Help? I forgot everything about this.
In the figure shown, KN is parallel to LM.
When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.
Answers
Answer:
Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.
Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given figure, KN is parallel to LM.
Here, ∠KJN = ∠LJM (Reflexive property)
Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ2
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answers
Answer:
?
Step-by-step explanation:
the choices, the question?
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answers
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
Please can I have help on this
Answers
Answer:
64
Step-by-step explanation:
16/2
= 8
8 x 8 x (pie)
64(pie)
Answer:
From the diagram, the radius of the circle is 8cm therefore the area is
A =
[tex]a \: = \pi {r}^{2} [/tex]
= 201.1 cm^2
40 divided by 28! HURRY!!
Answers
Answer:
fraction~ 10/7
decimal~ 1.428571
mixed number~ 1 3/7
Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number
17. Find the surface area of the sphere in terms of pi. 7 yd
Answers
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]Which equation has infinitely many solutions?
es
A)
8x + 3
= 2x + 4
2
B)
15x + 5
= 5x + 2
3
C)
8x45
8x + 5
= 8x + 6
2
D)
9x + 6
= 3x + 2.
3
+ 2
Answers
Answer:
its c
Step-by-step explanation:
plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .
True
False
Answers
Answer:
True
Step-by-step explanation:
Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.
You have 2 different savings accounts. For Account A, the simple interest earned after months is $1.90. For Account B, the simple interest earned after 18 months is $22.05. If the interest rate is 3.8% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Please help i need to turn it in soon!!
Answers
Answer:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
Step-by-step explanation:
What is spread of data on a dot plot?
Answers
Answer:
The spread is the range of the data. :)
Step by step explanation please!!
Answers
Answer:
what do you mean on the question?
Step-by-step explanation: