Mathematics High School

What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
4 m
cubic meters

Answers

Answer 1

given:

radius= 4 m

to find:

the volume of the given sphere.

solution:

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = 267.9466667 \: {m}^{3} [/tex]

[tex]v = 267.95 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 267.95 cubic meters.

Answer 2

Given:r= 4 meter Note that:r: radiusTo find:The volume of the given sphere to the nearest hundredth.Solution:A sphere is a 3D shape with 2 dimensional circle.

[tex]\large\boxed{\bold{Formula: V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Substitute the values according to the formula.

Instead of π we are asked to use 3.14

[tex]V= \frac{4}{3}\times\ 3.14\times{4}^{3}[/tex]

Calculator answer:

[tex]\bold{V= 267.9466667 \:{m}^{3}}[/tex]

Now, we can round off to the nearest hundredth.

The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 267.95 \: {m}^{3}}}[/tex]

Hence, the volume of the given sphere is 267.95 cubic meters.

Related Questions

Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.

Answers

Answer: Tony paid $1.20 less than Keith paid.

Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Find the area of the table top in square feet? hurry plss

Answers

It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.

What is the formula for the area of a Trapezoid?

The formula for the area of a regular Trapezoid is:

A = h * ((a+b)/2);

Where

A = Area

a = Short Base

b = Long Base

h = Height

So what is the solution for the above trapezoid?

Following the above formula,

A = 4 * ((5+9)/2)

A = 4 * (14/2)

A = 4 * 7

A = 28 Feet.

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28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into each
bottle?
A.
bol.co
x
5 6 7 8 9
R.
O B.22
OC.
O D. 2
090
mmo

Answers

Answer:

The answer choices are garbled.

Step-by-step explanation:

(18 pints)/(8 bottles) = (9/4) pint/bottle

2 and 1/4 pints per bottle

Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14

Answers

Answer:

O -x+y=-2

Step-by-step explanation:

-x + y = -5

⇔ y = x - 5

a line parallel to y = x - 5 must have the same slope as the line y = x - 5

Then

The equation of the parallel line is of the form : y = x + p

Finding p :

the point (-6,-8) lies on the parallel line means :

-8 = -6 + p

Then

p = -8 + 6 = -2

Finally :

y = x - 2 ⇔ -x + y = -2

Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?

(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8

Answers

If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

Length

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards

Answers

The perimeter of the picnic area is 107 yards

Complete Question:

A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards

How to determine the perimeter?

From the complete question, we have:

Shape: Triangle

Side lengths = 45 yards, 31 yards, 31 yards

The perimeter is the sum of the side lengths.

So, we have:

Perimeter = 45 + 31 + 31

Evaluate

Perimeter = 107

Hence, the perimeter of the picnic area is 107 yards

Answers

Answer:(x-4)^2+(y+2)^2=121

Step-by-step explanation:

eqaution of circle is this

(x-h)^2+(y-k)^2=r^2

(x-4)^2+(y--2)^2=r^2

and 2 negatives make positive

(x-4)^2+(y+2)^2=r^2
and r^2=121

(x-4)^2+(y+2)^2=121

What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i

Answers

The additive inverse of the complex number -12 + 4i is 12 - 4i

How to determine the additive inverse?

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

Answers

Answer:

Yes

Step-by-step explanation:

The larger side is smaller than the other sides combined

(2 + 13) > 14

Hope this helps

6 + 33 divided by 9 what is it

Answers

Answer:

I think its 4.9

Step-by-step explanation:

i used a calculator

Answer:

6+33/9 ≈ 9.67

Step-by-step explanation:

first you have to divide 33 by 9 getting roughly 3.67

once you have that u add 6

roughly giving you 9.67

1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120

Answers

The results of the absolute value expressions are:

|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0

How to solve the absolute value expressions

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

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Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre

Answers

Answer:

Step-by-step explanation:

15-3-3=9...........

What is the slope of a line that goes through (2,-2) and (5,6)?

Answers

Step-by-step explanation:

The slope formula from 2 points is:

m=(y2-y1)/(x2-x1)

So input the numbers:

m = (6 - -2) / (5 - 2)

Solve within parenthesis:

m = (8) / (3)

Then divide!
8/3 = 2 2/3

the slope of the line is 2 and 2/3

Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]

Determine if square root of three is rational or rational and why

Answers

Answer:

Irrational

Step-by-step explanation:

If the number goes on and on it’s irrational

Hope this helps! ;-)

Answer:

It is not rational because the square root of 3 is not a fraction nor a repeating decimal.

2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer

Answers

6/3.00 = 2
Dive the energy drinks by $3 so the unit price for each one is $2

Answer: $0.5

Step-by-Step Explanation:

6-pack cost = $3
Unit Rate = ?

Therefore,
= 3/6
= 1/2
= 0.5

Unit Rate = $0.5

21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50

Answers

Answer:

One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?

movie B

Which movie has a dot plot with ages that that center at about 30 years?

movie C

What is a typical age for the people who were at Movie A?

Step-by-step explanation:

I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.

In my local travel shop i can exchange euros for british pounds when i come back from holiday. I get £1 for every 1.46 euros. Complete this table for different values of euros that people exchanged in front of me in the shop.

21. 14.60 euros in pounds =
22. 109.50 euros in pounds =
23. 73 euros in pounds =
24. 365 euros in pounds =

Answers

Answer:

21. £10

22. £75

23. £50

24. £250

Step-by-step explanation:

Rate: 1.46 euros per £1

Q21

14.60 euros in pounds14.60/1.46 = £10

Q22

109.50 euros 109.50/1.46 = £75

Q23

73 euros73/1.46 = £50

Q24

365 euros365/1.46 = £250

Answer:

21. £10

22. £75

23. £50

24. £250

Step-by-step explanation:

Exchange rate:

£1 = ∈1.46

To convert from euros to pounds, divide the euros by 1.46

To convert from pounds to euros, multiply the pounds by 1.46

Question 21

14.60 euros = 14.60 ÷ 1.46 = £10

Question 22

109.50 euros = 109.50 ÷ 1.46 = £75

Question 23

73 euros = 73 ÷ 1.46 = £50

Question 24

365 euros = 365 ÷ 1.46 = £250

One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?

Answers

Answer:

2755

Step-by-step explanation:

One cubic foot=145 pounds, so we can do 145x19=2755 lbs.

The required weight of 19 cubic feet of concrete is 2755 pounds.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.

Thus, the required weight of 19 cubic feet of concrete is 2755 pounds.

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Select the equation that matches the written description.
A number, y is eight less than negative nine times a number,x.
(А)
y = -4x + 8
B
y = 3x + 8
y = -9x - 8
D
y = 5x + 8

Answers

I believe it’s y=3x+8 I hope this helps :)

Answer:

C. y = -9x - 8

Step-by-step explanation:

Setting up the equation:

eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.

We want to get the variable y alone, so this can be written as y = -9x - 8

why π is not equal to 3.1416

Answers

Answer:

pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive

Step-by-step explanation:

In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)

Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?

Answers

Answer:

K(11,19), L(7,11), M(40,77).

Step-by-step explanation:

pls help i’ll give 20 points and brainliest

Answers

Answer:

all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).

Step-by-step explanation:

use the formulae for each question.

A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.

Answers

Answer:

36.32 m

Step-by-step explanation:

perimeter = 2(l+b) = 2(10.5 + 7.66)

=2(18.16)= 36.32 m

Nineteen years ago Sean was 28 years old. How old is he now?

Answers

Sean is 47 years old

9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.

Answers

Answer: 37 students in the class

Step-by-step explanation:

Let n = number of books,

Let s = number of students

We get the following expressions:

n = 3s + 17

4 = [tex]\frac{n}{s-5}[/tex]

Solve this system using substitution:

[tex]4=\frac{3s+17}{s-5}[/tex]

[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]

[tex]4s -20 = 3s+17\\[/tex]

[tex]s-37 = 0\\[/tex]

[tex]s=37[/tex]

what is the answer for r= 8, d = 2x - 4?

Answers

Answer:

Step-by-step explanation:

2x -4= 0

2x-4+4=0

2x=0+4

2x=4

2x/2=4/2

x=2

What is the value of x?

Answers

all triangles add up to 180 degrees. 180-64= 116, your answer

89. 70 is what percent of 350?

Answers

Step-by-step explanation:

100% = 350

1% = 100%/100 = 350/100 = 3.5

how many % are 70 ? well, as many as often 1% fits into 70 :

70/3.5 = 20%

write your answer in scientific notation:
5,870,000,000,000 x 2000

Answers

Answer:

1.174 X 10^16

Step-by-step explanation:

since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16

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What is the volume of this sphere? Use a 3.14 and round your answer to the nearest hundredth. 4 m cubic meters

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What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
4 m
cubic meters