The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?

1,000π ft3
10,000π ft3
4,000π ft3
40,000π ft3

Answers

Answer 1

9514 1404 393

Answer:

  (b)  10,000π ft³

Step-by-step explanation:

The relation between circumference and radius is ...

  C = 2πr

  r = C/(2π) = (20π)/(2π) = 10 . . . . feet

The volume of a cylinder with radius 10 ft and height 100 ft is ...

  V = πr²h

  V = π(10 ft)²(100 ft)

  V = 10,000π ft³

Answer 2

Answer:

10,000π ft3

Step-by-step explanation:

I took the test


Related Questions

A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?

Answers

Answer:

height of the utility pole = 12 meters

Step-by-step explanation:

It is simple application of Pythagoras theorem.

In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.

The applying Pythagoras theorem.

H^2 = P^2 +B^2

⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144

⇒ P = 12 meters

hence, height of the utility pole = 12 meters

Solve by factoring.

m^2+6m+5=0

Answers

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

[tex]\sf m=-1,-5[/tex]

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m=-1[/tex]

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-5[/tex]

[tex]\sf m=-1,-5[/tex]

________________________________________

Help me please! I need this done quick!

Answers

Answer:

1. 15

2. 26

3. [tex]\sqrt{58[/tex]

4. 8

5. 6[tex]\sqrt{15[/tex]

6. [tex]\sqrt{2[/tex]

7. [tex]\sqrt{377[/tex]

8. 18

9. x = [tex]\sqrt{106[/tex]

y = [tex]\sqrt{34[/tex]

Step-by-step explanation:

IM TIRED DO I HAVE TO EXPLAIN?

I need help pls:(((((((((((((((((

Answers

Answer:

108

Step-by-step explanation:

We first must find the total per year of every family.

Remember... there are 12 months in a year

Wilson: 18 × 12 = 216

Kumar: 16 × 12 = 192

Lopez: 27 × 12 = 324

Anders: 14 × 12 = 168

Johnson: 15 × 12 = 180

The Lopez family borrows the most. (324 books)

The Wilson family borrows the second most. (216 books)

324 - 216 = 108

How do I show my work for this and get the answer? Thanksss

Answers

Answer:

the answer for this problem is 135

I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet

What do you know about the angles of a right triangle?

A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse

Answers

Answer:

B

Step-by-step explanation:

Answer:

B only one angle is a right angle and the other two are acute

Step-by-step explanation:

its clear from looking at an angle lol

3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%

Answers

D.60! Just turn the percent into a decimal and multiply by 50, also it would have to be higher than C because 50% is half and half of 50 is 25 so it would have to he higher

What is 127% of 40????

Answers

Answer:

50.8

Step-by-step explanation:

The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?

Answers

Answer:

4

Step-by-step explanation:

If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 2

Step-by-step explanation:

Hope this helps you!

Have a nice day <3

Answer:

Step-by-step explanation:

4x+6+3=17

Add  the numbers :6+3=9

4x+9=17

Subtract 9 from both sides

4x+9-9=17-9

Simplify;

4x=8

Divide both sides by 4

4x/4=8/4

Simplify

x=2

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #$$$DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Please help me out 5 points the first person

Answers

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

x=6

then up to 5

y=5

According to the question,

coordinate

=(x,y)=(6,5)

Create and solve a 2 step equation with addition and division.
PLEASE HELP THIS IS DUE TODAY!!! .-.

Answers

Answer:

(2+4)÷12

Step-by-step explanation:

jxkgxljcluckyxlhlusgibibsi do u need an explanation but here

what is the domain of f?
HELP PLEASE

Answers

Answer:

-7 to 7

Step-by-step explanation:

it is the range of the x values

Please hurry it’s 50 seconds left

Answers

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add 40 degrees to the 90 degrees and that will become 130 and all triangles add up to 180 so subtract 130 from 180 and you'll be left with 50

A cone has a volume of 18 in3. Select all of the possible dimensions for the cone.

Diameter 1 in., height 18 in.

Diameter 6 in., height 6 in.

Diameter 3 in., height 6 in.

Diameter 6 in., height 3 in.

Diameter 3 in., height 24 in.

Answers

Answer: with these values I don't find any of cones

Step-by-step explanation: volume is 1/3 x pi x r^2 x h

And radius r = diameter/2. Is you round pi/3 =1 it's easier.

Possible measures: d=2 and h=18

D= 4 and h= 4.5 or d= 6 and h=2

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?

Answers

Answer:

$8608.92

Step-by-step explanation:

Given data

Annual income= $143,482

Rate= 6%

We want to find 6% of $143,482

=6/100*143482

=0.06*143482

=$8608.92

Hence the income tax is

$8608.92

L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?

Answers

Answer:

xjxjxjzjzjxxjxjxjxjx

Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5

Answers

V
1) 5x+17
5x=-17
x= -3.4
2) 23x-5
23x=5
x= 0.217

W

1) 37x+5
37x=-5
x= -0.135

Probability of rolling a factor of 4 on the first die

Answers

Answer:

should be like 1 out of 6 chances

Step-by-step explanation:

The graph of y = Ab^x, where A and b are
constants, passes through (2, 2) and
(5, 16). Find the value of A and of b.

Answers

Answer:

A = 1/2, b = 2

Step-by-step explanation:

Inputting (x, y) into y = Ab^x we know that

point (2, 2):

2 = Ab^2

point (5, 16):

16 = Ab^5

So:

16/2 = Ab^5 / Ab^2

8 = b^3

b = 2

Now inputting point (2, 2) with b = 2

2 = A*2^2

2 = 4A

A = 1/2

in one town there are 240 boys and 260 girls who play sports of these 1/5 plays soccer. how many kids play soccer in all Hi there

Answers

Answer:

100 kids.

Step-by-step explanation:

First you add 240+260=500

Then you take 1/5 of 500 which is 100.

Hope this helps!

Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship

Answers

Answer:

y = x + 11

Step-by-step explanation:

x = Number of donuts Dave sells

y = Total amount of donuts Alex sells

Amount earned by Alex = $11 more than Dave's earning

This means y is greater than x by $11

Total amount of donuts Alex sells = Number of donuts Dave sells + $11

y = x + 11

A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?

Answers

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

which is proportion can be used to be determine to length of bc​

Answers

Answer:

4/5=bc/8

Step-by-step explanation:

Noah spent $66 for 20 gallons of gasoline. Lydia spent $81.25 for 25 gallons of gasoline. How much did each person spend for 1 gallon of gasoline?

Answers

Answer:

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $3.25 for 1 gallon of gasoline.

Step-by-step explanation:

To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.

Noah spent $66 for 20 gallons of gasoline.

Amount spent $66, 20 gallons. So

66/20 = $3.3

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $81.25 for 25 gallons of gasoline.

Amount spent $81.25, 25 gallons. So

81.25/25 = $3.25

Lydia spent $3.25 for 1 gallon of gasoline.

There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?

PLEASE HELP ASAP

Answers

Answer:

11175

Step-by-step explanation:

Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1  (with person 150)Person 150 ... none (already had 149 handshakes)

Total handshakes:

1 + 2 + ... 149 = 149(1 + 149)/2 = 11175

can someone help me this is a life or death question

Answers

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation:

Find x. Please help with this problem!!!!!

Answers

(3x+11)+(5x+1)=180
8x+12=180
8x=168
x=21

insaley easy 4th grade homework math question i will mark brainliest

Answers

Answer:

first answer  20

Second answer 1/2

For the last on I think it’s 1/4

Step-by-step explanation:

Lol Sorry if I’m wrong

Answer:

1. 5 1/4 or 5.25 or 21/4

2. 1/2

3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75

Step-by-step explanation:

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