Laura was asked to estimate the volume of dirt in a large hill outside her school. She decides to model the hill using a truncated cone. She estimates that the hill has a base diameter of 80 feet, a top diameter of 40 feet, and a helght of 24 feet. What is the approximate volume of dirt in the hill?

Answers

Answer 1

Answer:

The approximate volume of dirt in the hill = 70372 ft³

Step-by-step explanation:

From the given information:

Laura uses a model of a truncated cone to estimate the volume of the dirt.

This implies that the volume of the dirt in the large hill took the shape of a truncated cone.

Her estimate then includes:

a base diameter = 80 feet ; then the base raidus (R) = 80 feet/2 = 40 feet

a top diameter  = 40 feet ; then the top radius (r) =  40 feet/2 = 20 feet

a helght = 24 feet.

Using the formula for the volume of a truncated cone :

[tex]V =\dfrac{1}{3} \times \pi \times h \times ( r^2 +r \times R+ R^2)[/tex]

[tex]V =\dfrac{1}{3} \times \pi \times 24 \times ( 20^2 +20 \times 40+ 40^2)[/tex]

[tex]V =25.133 \times ( 400 +20 \times 40+ 1600)[/tex]

V = 70371.675 ft³

V ≅ 70372 ft³

Answer 2

Answer:

70,336

Step-by-step explanation:


Related Questions

Read and Answer
try ur best :)

Answers

Answer:

49

I looked it up

37 people had received a gift card

A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees?

Answers

Answer:

12:5

Step-by-step explanation:

PLEASE HELP ME!!
Select the equation that is in Standard Form:
1.) y = 4x + 8
2.) 4y = 82 + 6
3.)4x + 8y = 6​

Answers

Answer:

Answer is 3

Step-by-step explanation:

Standard form is AX + BY = C

where A, B, and C are constants. So 4 would be A, 8 would be B and 6 would be C

how do you graph y=4x-9

Answers

Answer: Start at the point -9 on the y axis and then from there just go up 4 and over to the right 1 and then keep going until you can't anymore. Then reverse and go down 4 and to the left 1

I hope I explained that well enough

You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.

Answers

This question is incomplete

Complete Question

You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.

Find the total amount that the employer contributes each month.

Answer:

$349

Step-by-step explanation:

Your Investment per month = $200

Your Employer's contribution per month = 70%

Your Employer's contribution = $200 × 70%

= $140

Therefore, the total amount that the employer contributes each month is $140

At an amusement park, 40 percent of the tickets were sold in the first hour. If 800 tickets were sold in the first hour, which equation can be used to find the total number of tickets sold for the entire day?​

Answers

Answer:

800 / 0.40 = 2000

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

i did the test :)

how would i solve number 60

Answers

Answer:

you would solve it by using the factoring method or the quadratic formula

Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. Solve the division problem. StartFraction 13 over 2 EndFraction divided by three-fourths Monique made batches of soup.

Answers

Answer:

8 2/3

Step-by-step explanation:

proof below

Answer:

8 2/3

Step-by-step explanation:

How many solutions does this equation have?

7(x+2)=7x+10

a. one
b. infinite
c. two
d. zero

Answers

Answer:

zero

Step-by-step explanation:

They are parallel, so they will never touch.

Is y directly proportional to x based on the data in the table?

A) Yes
B) No

NEED ASAP

Answers

Yes I hope this helps

Answer:

yes

Step-by-step explanation:

if x increase y also increase

therefore its proprtional

EASY 50 POINTS! (forgot last question) Which figures demonstrate a single rotation?
Brainliest if you answer thank you

Answers

bottem left and maybe top right.

if it means a single 90 degree rotation then its only bottem left but it doesn't specify so it could also be a single 180 degree rotation for top right

If CE=20, find the value of x

Answers

X could possibly be 10.25

What is u + V + w when
u = -10, v = 4, and w= 8?
14
-22
2
22​

Answers

Answer:

2

Step-by-step explanation:

u + v + w when u = -10, v = 4, and w = 8

~Substitute

-10 + 4 + 8

~Add

-6 + 8

~Add

2

Best of Luck!

The answer is c. 2 because u would add negative 20 plus 4 and 8 and that leaves u with 2

HELP!!! You have the opportunity to lease space for your business. The property owner has proposed a four-year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years?
a. $13,200
b. $22,000
c. $31,390
d. $32,440

Answers

Answer: c. $31,390

Step-by-step explanation:

Accumulated amount after t years (if compounded annually)= [tex]A=P(1+r)^t[/tex], where P = Principal value , t= time , r = rate of interest.

Given : P= $29,000

r= 2% =0.02

t= 4 years

[tex]A=29000(1+0.02)^4=29000(1.02)^4[/tex]

[tex]=29000\times1.08243216\approx31390[/tex]

Hence, the annual rent at the end of four years= $31,390

So, the correct option is C.

Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

Answers

Answer:

She did not multiply equation (3) in step 2 by the correct value.

Step-by-step explanation:

Answer on edge

Answer:

Step-by-step explanation:

C. is the correct answer.

Find the measure of B​

The steps I look find the measure of B are:

First,added___________.Then,I_______________

Answers

i could be wrong but- first i added 37 and 64. from there i subtracted the previous answer (79) from 180. then i added that answer (101) and the other known angle (39) to get 41. lastly i added the two angles (41 and 37).

answer: 78

Cole had 33 DVDs. His mother bought him d more DVDs. Write an expression that shows how many DVDs Cole has now.

Answers

Answer:

33d = x

Step-by-step explanation:

Answer:

33 + d = how many DVD's he has now

Step-by-step explanation:

33 is your constant and D is your variable and it's being added to the 33 he already has

Select the correct answer.
For what values of n is the perimeter of square A less than the perimeter of rectangle B?



A.

B.

C.

D.

Answers

there’s no answers brotha
there’s no answers to be answered


What does x equal in the following examples?
4x+6. And. 2x+4

Answers

Answer:

-2

Step-by-step explanation:

hope -2 is equal for x in both expression

what the GIF of 32 and 56

Answers

Answer:

8

Step-by-step explanation:

HELP ME I'LL MARK U AS BRAINLIEST

Answers

Answer: A. -15.8

Step-by-step explanation: Please give brainliiest it helps a lot

A! I hope this helps!

if h(x)=-4-10 find h (-5)

Answers

For h( -5), just plug in the value -5 for whenever x occurs.

-4(-5) - 10 = 20 - 10 = 10

h(x) means a function h, at a point x.

Using this definition, we know that h(-5), is a function, (-4x - 10), at a poi

a tiny house has a length of 25 feet. the width of the kitchen is 3 feet, and the width of the remain space is 12 feet. which expression represents the area of the tiny house?

Answers

Answer:

I'm not good at Math, so I'm not gonna be like give me brainiest, but I try to help. I think the answer would be D. 25(3+12) this mean add 12+3=15 15*25= 375, but it does not ask you to solve, but if you have 3 feet for the kitchen a 12 feet is remaining size and the house is 25 15 is not yet 25 so you would multiply.

Step-by-step explanation:

I hope this helps.

Answer:

It is D

Step-by-step explanation:

25(3+12)

I hope this helps, Have a good day!

A local little league has a total of 60 players, of whom 20% are right-handed. How many right-handed
players are there?
There are right-hahided players.
(Type a whole number.)

Answers

Answer:

The answer is 12 hope it helps.

Step-by-step explanation:

none

Answer:

12 players

Step-by-step explanation:

You multiply 60 by .20.  60x.20= 12! Please mark me brainliest!

What is the answer for my geometry problem?

Answers

Answer:

2x

Step-by-step explanation:

Lines PR are equal to PQ

PLS HELP ME I WILL GIVE BRAINLYEST

Answers

C

Can I have it please??

Answer: Letter B!

Step-by-step explanation:

Because

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

BUT 8 x 4 IS NOT 24!

it should be 32 because

8 x 4 = 32.

hope this helps :)

Josh purchased 8 cans of tennis balls. The cans came with 3 balls in each can. How many balls did Josh purchase?

Answers

Answer:

8 x 3 = 24 balls

Step-by-step explanation:

Multiplication.

Answer 24
Just multiply

will give brainliest, need answer asap

Answers

Answer:

3.33

Step-by-step explanation:

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

Answer:10

Step-by-step explanation:

4/7 • 1/8 write the answer in lowest terms:​

Answers

Answer:

1/14

Step-by-step explanation:

This is the answer in decimal form

             0.0714285714286

This is the answer in fractional form

               1/14 ( Simplified )

Hope this helps! <3

Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117

Answers

The square root of 50
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