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

Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.

Answers

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

how do i find the unit rate?

Answers

U can find the unit rate by looking where is the point so in that pic the unit rate I see is: 3/5

Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

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Answers

Answer: A

Step-by-step explanation:

What is the length of CD?
Round to one decimal place.

C
5.6
4
A
B
D
5.1

Answers

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=

Answers

Answer:

Step-by-step explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and  y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

     = -17(x - 1)² + 0

     = -17x² + 34x - 17

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Answers

Answer: C

Explanation: A simple sentence consists of only one clause, with a single subject and predicate.

please please help me!!

Answers

Hey you can go on Gauthmath it will have more people online to help you

Note: Angles not necessarily drawn to scale​

Answers

Answer:

for finding x

x+133=180(being linear pair)

x=180-133

x=47 degree

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

→ Work out APD

133°

→ Find the sum of APC and DPB

360 - ( 133 + 133 ) = 94

→ Divide the answer by 2

94 ÷ 2 = 47°

The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.

Answers

Answer:

1.x=90 degrees

2.smaller angles =30

3.larger angles =(30×2)=60

Step-by-step explanation:

Complement angle=90 degrees

90/3 (because need to separate into 3 parts) =30 degrees

1part =30 degrees

1:2

(1×30):(2×30)

30:60

What is the value of the expression below?

Answers

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

does anybody know how to solve this problem?

Answers

Answer:BC=68

DE=36

CE=34

Step-by-step explanation:

Since  D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.

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Answers

Answer:

x = 6

m∡ABC = 135°

Step-by-step explanation:

∡ABE ≅ ∡CBD therefore we can create the following equation:

3x + 27 = 45

3x = 18

x = 6

∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC

180 - 45 = m∡ABC

m∡ABC = 135°

use logarithm table to solve (0.7634)^4​

Answers

Answer:

[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]

what is
[tex] \frac{1}{4} + \frac{3}{10} + \frac{5}{21} [/tex]
show full work
thanks ​

Answers

Step-by-step explanation:

1/4+3/10+5/21

105+42+100/420

=247/420

=0.588

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \dfrac{247}{420} [/tex]

or

[tex]\longrightarrow0.588[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

What is m<1?

A. 21°
B. 23°
C. 24°

Answers

Hi there!

[tex]\large\boxed{\text{B. }23^o}[/tex]

According to a circle theorem:

m∠1 = 1/2(a - b) where a and b are angles.

Thus:

m∠1 = 1/2(94 - 48)

Simplify:

m∠1 = 1/2(46) = 23°. The answer is B.

If 5x + 2 = 17, then 12x =____?

Answers

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

Answer:

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 3

Therfore, 12x = 12 (3) = 36

what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1

Answers

Answer:

12y = -7

Step-by-step explanation:

4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week

Answers

Answer:

$420

Step-by-step explanation:

Divide to isolate the cost

240 / 4 = 60 - amount per person (for 4 people)

60 / 5 = 12 - amount per person per day (5 days)

Multiply using that cost and new values.

12 x 5 = 60

60 x 7 = 420

write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ... ​

Answers

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?

Answers

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Put n = 25 and r= 6, we get

[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]

Hence, there are 177100 possible groups.

please help me out with this equation!
i will mark you as brainliest

Answers

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

Answer:  -19, -15, -9, -1, 9   (choice A)

===================================================

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

12) What value of x makes : f(x) = 30

Answers

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi

Answers

The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5  meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question

Answer = 523.6meters^3

The volume of the given sphere with radius 5 meters is given by 523.33 m³.

What is Volume?

Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.

As per the given data:

Radius of the sphere = 5 meters

Value of π as given in the question = 3.14

{always use the same value of π as given in the question}

For finding the volume of a sphere with a given radius:

[tex]V = \frac43 \pi r^3[/tex]   {where r is the radius}

[tex]V = \frac43 \times 3.14 \times 5^3[/tex]

V = 523.33 m³

Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Learn more about Volume here:

brainly.com/question/13338592

#SPJ3

Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?

Answers

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

B. The sum of 3 and a number is -2, what is the number?

Answers

theeeeeeeee answer is -5

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Answers

Answer:

take out x+60 and = x+54 cross multiply for starters

The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70

Answers

Answer:

c. 60

Step-by-step explanation:

in the table :

x = 12 , y = 12×25=300

on the graph :

x= 12 , y = 12×30=360

so, the difference is 360-300 = 60

In table

Rate of change

(125-100)/(5-4)25

Whne x=12

y=12(25)=300

In graph

Rate of change

(120-60)/230

When x=12

y=12(30)=360

Difference

360-300=60

Please help me I don’t understand it and I really need help.

Answers

Answer:

b

Step-by-step explanation:

HELP ME!! First to answer gets brainiest!!!

Answers

Answer:

11 1/5 minutes

Step-by-step explanation:

All you have to do is add up all the songs together.

3 1/2 = 3 30/60

2 57/60= 2 57/60

4 3/4 = 4 45/60

Add this all up

9 132/60

11 12/60

11 1/5

11 1/5 minutes

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