Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.

Answers

Answer 1

This question is incomplete

Complete Question

Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.

Radius of the sphere = 3 cm

Answer:

a) The volume of the sphere = 113cm³

b) Hal's likely error was :

He used the wrong formula and did not make use of π = 3.14 in his calculation.

Step-by-step explanation:

a) The Volume of a Sphere = 4/3πr³

The radius of the sphere = 3cm

π = 3.14

The volume of the sphere = 4/3 × 3.14 × 3³

= 113.04 cm³

Approximately to the nearest hundredth = 113cm³.

b) Hal's likely error comes in two forms:

1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)

ii) Also he did not use π in his calculation.

This means Hal's calculation=

Surface Area of a Sphere = 4πr²

But Hal's used = 4r²

Where r = 3cm = 4 × (3cm)²= 36 cm³

This is wrong.


Related Questions

Which type of insurance covers potential damages to a personal car?

A.
automobile insurance
B.
homeowners insurance
C.
renters insurance
D.
travel insurance

Answers

The Object in question is a car, hence the type of insurance cover is

A. automobile insurance

Insurance of Vehicle

Motor Vehicle Insurance

This is a type of insurance that car owners purchase to cover for damages that may occur to their vehicle.

There are basically two type of Vehicle insurance

Comprehensive InsuranceThird Party Insurance

Lear more about insurance of vehicle here:

https://brainly.com/question/25855858

Answer:

Renter's Insurance

Step-by-step explanation:

Click on the graph below to create a quadrilateral with vertices at the following points
(8,0), (8,7), (0,0), (2, -6)

Answers

Answer:

Look at the picture for the answer :D

Step-by-step explanation:

The x coordinate comes first, then the y.

The value of a home is $899,000 and increasing in value at a rate of 1% per year. Use an exponential growth function to find the approximate value of the home in 12 years.

Answers

Answer:

$1012993.2

Step-by-step explanation:

Given data

Cost of home V= $899,000

Rate of increase= 1%

Time= 12 years

The exponential growth function is expressed as

A=V(1+r)^t

A=899000(1+0.01)^12

A= 899000(1.01)^12

A= 899000*1.1268

A=$1012993.2

Hence the cost of the home will be $1012993.2

please help due soon!!! will mark brainlyist if right

Answers

Step 1: Find the slant height

10^2 + 28^2 = c^2

884 = c^2

c = [tex]\sqrt{884}[/tex]

Step 2: Find the lateral area

LA = pi * radius * slant height

LA = pi * 10 * [tex]\sqrt{884}[/tex]

LA (rounded to the nearest tenth) = 297.3pi in^2

Step 3: Find the area of the base circle

A = pi * r^2

A = pi * 10^2

A = 100pi in^2

Step 4: Add the areas together

SA = 297.3pi + 100pi

SA = 397.3pi in^2

Hope this helps!! :)

What is the probability of drawing a red marble?
2/5
45%
1/3
9/11

Answers

Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

.45=45%

The answer is 45%.

Answer:

45%

Step-by-step explanation:

Total = 20

Red = 9

9/20 = 0.45

Therefore 45 % is the correct option :))

PLS HELP THIS IS MY FINALS

Answers

[tex]\boxed{c.\:n\:=\:18}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢  \frac{6}{18} = \frac{14}{42} \\ ⇢  \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

n=18
the answer should be c

Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E. Angle A and Angle D Angle A and Angle G Angle A and Angle E Angle A and Angle F

Answers

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

[tex]\angle A = \angle F[/tex] --- Vertical opposite angles

[tex]\angle B = \angle E[/tex] --- Vertical opposite angles

From the given options,

[tex]\angle A = \angle F[/tex] is true

PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help asap thank you no links please and thank you .

Answers

Answer:

p = 4n

p = 312 passengers

n = 19.5 cars

Step-by-step explanation:

Let

n = number of cars

p = number of passengers

a. p = 4n

b. p = 4n

Find p if n = 78

p = 4n

p = 4 * 78

p = 312 passengers

c. Find n if p = 78

p = 4n

78 = 4n

Divide both sides by 4

78 / 4 = 4n / 4

19.5 = n

n = 19.5 cars

Help!! Please
I need the simplified form

Answers

Answer:

1/2

Step-by-step explanation:

Answer:
C. N=1/2
Step by step explanation:

WHAT. Is. THIS. pls haaaaaaalp

Answers

Answer: 56

Step-by-step explanation:

Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week

Answers

Answer:

400

Step-by-step explanation:

12.50times 32

Help please the question is on the image

Answers

Answer:

2

Step-by-step explanation:

pls answer thank you

Answers

435.6

mark me brainliestt pls :)))

SA = 411.4 cm2

Explanation:

Area of square = s x s = 11 x 11 = 121 cm2

Area of triangle = 1/2 x b x h = 1/2 x 11 x 13.2 = 72.6 cm2

Area of 4 triangles = 72.6 x 4 = 290.4 cm2

Total surface area = 121 + 290.4 = 411.4 cm2

HELP ME PLEASE!! π∆π π∆π

Applying the Pythagorean theorem, Find the measure of the missing side of a right triangle if one leg is 7 cm and the hypotenuse is 25 cm.​

Answers

Answer:

24

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49+b^2 -49 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

Step-by-step explanation:

[tex]hypotenuse {}^{2} \: = base {}^{2} + \: perpendicular {}^{2} \: \\ \\ base {}^{2} = 25 {}^{2} - 7 {}^{2} \\ \\ base {}^{2} = 625 - 49 \\ \\ base {}^{2} = 576 \\ \\ base = \sqrt{576} \\ \\ base = 24 \\ \\ [/tex]

The temperature in Elmwood is 5°C. The temperature in Gainesville is 9°C cooler than the temperature in Elmwood. The temperature in Knowlton is 12°C warmer than the temperature in Elmwood. Which equation shows the temperature in °C in Knowlton?

Answers

This sounds like a m/c question. The answer should be something like 5+12=17. Temperature of Gainesville is useless, so disregard that.

what is the vertex of this quadratic?

Answers

Answer:

vertex = (3, 2 )

Step-by-step explanation:

The vertex is the turning point of the graph.

This occurs at (3, 2 ) ← vertex

Answer:

The vertex is at (3, 2)

Step-by-step explanation:

Hello!

Vertex

The vertex of a parabola is the point of turning, or the minimum/maximum point of the parabola.

Since the graph opens up, the vertex is at the minimum point.

The y-value is 2, and the x-value is 3, giving us the vertex of (3, 2)

Other Parts

There are other parts to parabola than just the vertex.

Standard form of a quadratic: [tex]ax^2 + bx + c[/tex]

Other parts include:

Axis of Symmetry, the line where the parabola is exactly symmetrical, and when folded in half, the sides will match. It is found using the formula [tex]-\frac{b}{2a}[/tex]X-intercepts, also known as the roots or zeroes of the graph, is where the graph touches the x-axis. It is found using the quadratic formula:[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]Y-intercepts, the point where the graph hits the y-axis. It is the "b" value in the equation.

What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3​

Answers

Answer:

73.5

Step-by-step explanation:

Step 1: 21/2 divided by 2 = 21/4

Step 2: 21/4 times 21/4 times 8/3 =

Answer: 73.5

The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

A lifeguard at a community swimming pool earns $56 in 7 hours. How much does the lifeguard earn per hour?

Answers

Answer:

$8

Step-by-step explanation:

7/7 = 1

56/7 = $8

what is street art and how do it help us share are cultures​

Answers

Answer:

Street art can help us commute more interesting. It can make people cheerful surprised and happy. Street art is a form of artwork

Step-by-step explanation:

y u put this in math subject when this isn't even math?

Street art is one of the most hybrid forms of artistic expression in our modern world because it’s purpose is to draw upon what the viewers know and manipulate the physicality of the subject to make their point. ( I hope this made sense :p )

Y-intercept for y=x2+6x-27

Answers

Answer:

y-intercept is -27

Step-by-step explanation:

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?

Answers

Answer:

90

Step-by-step explanation:

Formula is:

2(wl + hl +wh)

plug in values and calculate

3.2/.8=
help pls
also the steps to doing it.

Answers

Answer:

4

Step-by-step explanation:

I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2.  So 0.8 + 0.8 + 0.8 +0.8 = 3.2  So 3.2/0.8 is 4

Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables.  8*4=32

8. Solve the equation
x² - 1 = 48​

Answers

Answer:

x^2-1=48

x^2=48+1

x^2=49

x=[tex]\sqrt{49}[/tex]

x=7

Step-by-step explanation:

hi! i’ll give brainliest please help

Answers

Answer:

Is it deposition

Step-by-step explanation:

its not b, i just have it hovered over it

Answers

its 1 cause whenever x is written, it always equals one

One type of candy mix contains 30% Smarties by mass. A second type contains 20% Smarties by
mass. What mass of the 30% mix is required to make a 500 gram mixture that will have 24%
Smarties by mass?

Answers

Answer:

200 grams

Step-by-step explanation:

Let us represent

The number of grams of

30% smarties = x

20% smarties = y

Hence:

x + y = 500

x = 500 - y

Hence:

30% × x + 20% × y = 24% × 500

0.3x + 0.2y = 120

Substitute 500 - y for x

Hence:

0.3(500 - y) + 0.2y = 120

150 - 0.3y + 0.2y = 120

Collect like terms

- 0.3y + 0.2y = 120 - 150

- 0.1y = -30

y = -30/0.1

y = 300

Solving for x

x = 500 - y

x = 500 - 300

x = 200

Hence,

The number of grams of

30% smarties = x = 200 grams

20% smarties = y = 300 grams

Therefore:

the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams

PLEASE HELP!! WILL MARK BRAINLIEST IF CORRECT! Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces.

(x,y) --> (x + 2, y - 7)

Answers

Answer:

(7, 5)

Step-by-step explanation:

(5,12)

x : 5 + 2 = 7

y : 12 - 7 = 5

(7,5)

The value of (x, y) --> (7, 5).

What is an ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given point is (5,12)

We have to solve for

(x,y) --> (x + 2, y - 7)

Now put x=5 in x+2

x = 5 + 2

= 7

and, y= 12 in y-7

y = 12 - 7

= 5

Hence, (x, y) --> (7, 5).

Learn more about ordered pair here:

https://brainly.com/question/11740961

#SPJ2

If your inequality has these signs, will you have an Opened or Closed circle on your number line graph? > or < ​

Answers

Answer:

it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed

Find the number of solutions to the equation n -9 = n + 9.

Answers

Answer:

I think n=0 because

-9-9=n

0=n also as n=0

HELP I CANT FAIL AGAIN

Answers

Answer:

49

Step-by-step explanation:

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