Answer the two questions below. Show ALL of your work.(a) John and Stan were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the problem.)
(b) The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)
Math | Graded Assignment | Unit Test, Part 2 | Volume

Answers

Answer 1

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.


Related Questions

Please help I will mark brainliest

Answers

you don’t even have brainliest...

Compare the 2 functions that are shown. Function A Time (sec) Distance (meters) 140 10 Function B 20 280 D = 135 30 40 50 420 560 700 Which function has a greater speed, and what is the greater speed?

O Function A: 13 meters per second
O Function A; 14 meters per second
O Function B; 13 meters per second
O Function B; 14 meters per second​

Answers

Answer:

Step-by-step explanation:

D

2 (t-4) + 1 math I ready

Answers

Answer:

2t-7

Step-by-step explanation:

Not sure what you need ;( hope this helps!

answer:

2t−7

step-by-step explanation:

distribute:

=(2)(t)+(2)(−4)+1

=2t+−8+1

combine like terms:

=2t+−8+1

=(2t)+(−8+1)

=2t+−7

good luck :)

hopefully, this helps

have a great day !!

2 (06.01 LC)
A jar has 15 pink gumballs, 21 blue gumballs, 19 red gumballs, and 19 yellow gumballs. Which colored gumball has the least probability of being picked when a child randomly draws one out of the jar? (1 point)
Pink
O Blue
0 Red
Yellow

Answers

Answer:

The Pink ones since they are the lowest amount of them.                         PLEASE MARK THE BRAINILEST

Answer:

The pink color gumballs

20 cm
10 cm
20 cm
10 cm
10 cm 10 cm​

Answers

Answer:

where is the question

Step-by-step explanation:

ok

Don’t know what the question is......

I have 7 more and I have no clue on how to solve it please I need help

Answers

Answer:

the answer is y = 4x - 19. hope this helps!

25 please and thank you :)

Answers

Answer:

linier

Step-by-step explanation:

Plug the points inside the equation
6 = y and 0 = x
6 > 0 - 2
6 > -2
The solution is true
Yes, the points are a solution

Solve the system of equations using the substitution method. 2x+y=8
y=x-1

Answers

Answer:

x=3

Step-by-step explanation:

If we know that y=x-1, we can just substitute it and replace y with (x-1)

so 2x+y=8 becomes:

2x+(x-1)=8 and we simplify that into:

3x-1=8, add 1 on both sides to make it:

3x=9, divide 3 on both sides

x=3

-11 2/3 x (-4 1/5) =

Answers

the answer is "49x" have a good day

Step-by-step explanation:

I hope this helps:) ans:49x

Does this graph show a function? Explain how you know.

Answers

Answer:

a. no the graph fails the vertical line test

The graph fails the vertical line

Hope it helps

WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? mi

Answers

An hour is 60 mins long. 15 mins is 1/4 of that. So 60/4=15. And since he’s running at 12 miles per hour, then 12/4=3. Which means he will travel exactly 3 miles in 15 minutes.

(10 + 4) x 7 - 45 divided by 9

Answers

The answer should be 5.8

Find the length of AB.

Answers

Answer:

We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units

Answer:

AB=9

Step-by-step explanation:

[tex]\frac{DC}{BC}=\frac{EC}{AC}\\ \frac{4}{3}=\frac{16}{AC}\\\\ AC=12\\\\ AB=AC-BC\\ AB=12-3=9[/tex]

Which are equivalent ratios to 1:3?
Check all that are true.

2:6

3:9

3:6

1:9

2:8

Answers

Answer:

both 2:6 and 3:9 are the correct answers

Step-by-step explanation:

2:6 and 3:9 this is the answer

Helpppp I will give brainliest

Thanks

Answers

Answer:

=−2x+688

Step-by-step explanation:

The third

What is the value of the expression (14 ÷ 2) + 6 x 3 − 12? 13 15 17 23

Answers

Answer:

Answer is 13

Step-by-step explanation:

(14÷2)+6×3-12

14÷2+6×3-12

7+6×3-12

7+18-12

25-12

13

I hope it's helpful!

Answer:

13

Step-by-step explanation:

got this question correct and if you just do

(14÷2)+6×3-12

14÷2+6×3-12

7+6×3-12

7+18-12

25-12

13

hope this helps!!!!!

Vicky bought a basket for $16 and 10 scented soaps to put inside it.
Altogether, she paid $51 for the basket and soaps.
What was the cost of each scented soap?

Answers

$51-$16=$35 (cost of 10 scented soaps)
$35 ÷ 10 = $3.50
ans: $3.50

Compete in the Bottle Flip Challenge 3 times. Each time, you will have 1 minute to “cap” the water bottle as many times as possible. At the end of 3 rounds, add your “cap” totals together, then divide by 3 to find your average.



EXAMPLE: Round 1 = 3 caps Round 2 = 1 cap Round 3 = 0 caps

3+1+0=4 4 divided by 3 = 1.3

Answers

Dududyxydyx566643335677

what is the range of f(x)=15(1/3)^x

Answers

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

Fill in the blank with the correct term or number to complete the sentence.


The volume of a rectangular prism can be found by multiplying the length by the ______ by the height.


A.
width


B.
volume


C.
space


D.
side

WHOEVER ANSWERS FIRST GETS BRAINLEST FIRST PERSON BE THE LUCKY DUCK!!!!

Answers

Width is the answer
Hope this helps

I will give you BRAINLIEST for the correct answr

Answers

Answer:

the answer should be C, 9 to 7

PLZ HELP!!! (I am testing brainly users on their skill) 50 points!

Answers

Answer:

C

Step-by-step explanation

You get the answer by subtracting both sides by k and dividing both sides by (x-h)^2.

Q8. Divide £60.50 in the ratio 8 : 3

Answers

How many times does £60.50 go in to 8 and how many times it goes into 3
The write the ratio with the answer for example 0:0

A tissue is 6 inches long the area is 24 in.² what is the width of the tissue

Answers

Answer:

4 In.

Step-by-step explanation:

If you 24 divided by 6 you would get 4. The equation to find area is L x W (length x Width). You're missing the width so you would just start from the area divided by length.

The area of the hardscape is 3x^2 + 13x + 4. what is the length and width of the hardscape

Answers

Answer:

[tex](3x+1)[/tex]

[tex](x+4)[/tex]

Step-by-step explanation:

Assuming that the given surface is two-dimensional, one can simply factor the given polynomial to find the dimensions of the surface.

[tex]3x^2 + 13x + 4[/tex]

Just by looking at the polynomial, it is fairly obvious that the factors are;

[tex](3x+1)(x+4)[/tex]

One can check this by distributing, multiply every term in one of the parenthesis by every term in the other. Then combine like terms,

[tex]3x^2 + 12x + x + 4\\\\3x^2 + 13x + 4[/tex]

Without further information, it is impossible to determine which is the length, and which is the width, one just knows that the dimensions of the surface are;

[tex](3x+1)\\\\(x+4)[/tex]

WORD PROBLEM SYSTEMS. I THINK 1 OR 4 BIT MAINLY 4. ​

Answers

I think the answer is 2

HELP ME WITH THIS QUESTION PLS

Answers

Answer:

its arab

Step-by-step explanation:

because there the largest ethnic group in the region

23. Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of
apple juice.

Which of the following equations does NOT match the situation?(x/y is a fraction)
A. j=3/2s
B. s=2/3j
C. j=2/3s

Answers

Answer:

0

Step-by-step explanation:

Tfjhvcdxjkcmvff

Answer:

the answer is I don't know your welcome

Find four consecutive multiples of three that the product of the first and third miners minus eight times the fourth number is negative 48

Answers

Answer:

The four consecutive multiples of three are 6, 9, 12, and 15

Step-by-step explanation:

let the first multiple of 3 = n

second multiple of 3 = (n + 3)

third multiple of 3 =(n + 6)

fourth multiple of 3 =(n + 9)

product of the first and the third = n(n + 6) = n² + 6n

eight times the fourth number = 8(n + 9) = 8n  + 72

The difference between the two =  n² + 6n - (8n  + 72) = -48

n² + 6n - 8n  - 72 = -48

n² - 2n =  -48 + 72

n² - 2n = 24

n² - 2n - 24 = 0

n²  - 2n - 24 = 0

n² + 4n - 6n - 24 = 0

n(n + 4) - 6(n + 4) = 0

(n - 6)(n + 4) = 0

n = 6    or  - 4

n should be a positive number, thus n = 6

The second multiple of 3 =  (n + 3) = 6 + 3 = 9

The third multiple of 3 =(n + 6) = 6 + 6 = 12

The fourth multiple of 3 = (n + 9) = 6 + 9 = 15

                                             

                                                     

An architect is drawing up plans for a garden that has four equal sides, each Two-fifths yard long. What is the distance around the garden?

1 3/5 yards
1 8/5 yards
4 2/5 yards
4 8/20 yards

Answers

Answer : 1 3/5 yds
I’m not sure I’d check it
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