The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

[tex]267.95 cm^3[/tex]

Step-by-step explanation:

We need to first find the radius of the sphere.

The surface area of a sphere is given as:

[tex]A = 4\pi r^2[/tex]

where r is the radius

Therefore:

[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]

The radius of the sphere is 4 cm.

The volume of a sphere is given as:

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

Therefore, the volume of the sphere of radius 4 cm is;

[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]

The volume of the sphere is [tex]267.95 cm^3[/tex]

Answer 2

Answer:

C: 267.95 cm3

Step-by-step explanation:


Related Questions

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 89, 178, 267, 356, ...

Answers

Answer:

a(n)=89n

Step-by-step explanation:

Given the sequence 89, 178, 267, 356, ...

First Term, a(1)=89

178-89=267-178=89

This is an arithmetic difference with:

Common difference, d=89

The position of any term, n in an arithmetic sequence is derived using the formula:

a(n)=a(1)+(n-1)d

Substituting a(1)=89 and d=89

a(n)=89+89(n-1)

a(n)=89+89n-89

a(n)=89n

The expression that describes the sequence above is: a(n)=89n where n is the position of a term in the sequence.

In how many ways can five models line up to have their
photograph taken?
F. 120 G. 60 H. 25 I. 20

Answers

Answer:

120

Step-by-step explanation:

by using the basic counting rule, there are 5 positions first, then 4, then ,3 and so on down to one. so when you multiply them all together, you get 120. Also i took  a test with the same qeustion, and that was the anwer :)

Answer:

120

Step-by-step explanation:

5 times 4 times 3 times 2 times 1= 120

5 choices for first

1 choice already taken so 4 for the other model

3 for the other

2 for the other

and 1 for the other

=120

Its correct, trust me!

2/7 as a percent to the nearest whole number

Answers

29% (.285 is 29 percent rounded because u have to move two decimals to the right to get your percentage)

Please help me with those questions please please help

Answers

a) Tan(38) = x/6
x = 6*Tan(38)
x = 4.69
b) Tan(75) = x/13
x = 13*Tan(75)
x = 48.52

Lesson Check
Choose the correct answer.
5. Greg has 27 toy trucks. He divides them into
3 equal groups. How many toy trucks are in
each group?

Answers

There are 9 toy trucks in each group.

27 divided by 3 is 9. Therefore when you divide the trucks up in EQUAL groups the answer has to be 9.

Find the mode of the data.
41, 38, 37, 34, 37, 43, 37, 39, 41, 37

Answers

Answer:

Step-by-step explanation:

37

Answer: 37

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.

Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6

Answers

Answer:

B

Step-by-step explanation:

hope this helps.......

Answer:

my answer is B

Step-by-step explanation:

I know this because I just took a test on this and got it right.

What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .

Answers

Divide any term by the one before it, and you'll get the ratio. -20/4=-5

What is my favorite subject?
If you get this correct then I'll mark you brainliest
If you're wrong then I'll cancel your answer or you can edit it.

Answers

Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

What is the Volume of the triangular prism, in cubic centimeters?

Answers

Answer: the answer is approximately 45.6

Step-by-step explanation:

There’s three answers

Answers

Answer:

D

E

F

Step-by-step explanation:

Because as long as they stay the same they can just be mixed.

How would you write and equation for a circle with a radius of 5 , centered at the point (-3,2)

Answers

Answer:

[tex](x+3)^{2} + (y-2)^{2} = 25[/tex]

Step-by-step explanation:

Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False

Answers

Answer: false

Explanation:
False, I had this on a quiz and got it correct

A circle has the equation (x + 1)2 + (»- 3)2 = 16. What are the coordinates of its center and the length of
its radius?

Answers

Answer:

wm hv

Step-by-step explanation:

everything

O terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical. Se antes do aumento o terreno tinha o formato de um quadrado de lado x, qual a nova área após os aumentos?

Answers

Answer:

New area of Eduardo's farm after the increase = x² + 4x + 4

Nova área da fazenda de Eduardo após o aumento = x² + 4x + 4

Step-by-step explanation:

English Translation

The land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically. If before the increase the land was shaped like an x-side square, what is the new area after the increases?

Solution

The previous area of Eduardo's farm is the are of a square with side lenght of x.

Area of a square = (side length)² = x²

Then, the land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically.

New horizontal length of Eduardo's farm = (x+2)

New vertical length of Eduardo's farm = (x+2)

New area of Eduardo's farm = (x+2)(x+2)

= x² + 4x + 4

In Portugese/Em português

A área anterior da fazenda de Eduardo é a de um quadrado com comprimento lateral de x.

Área de um quadrado = (comprimento lateral)² = x²

Em seguida, o terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical.

Novo comprimento horizontal da fazenda de Eduardo = (x + 2)

Novo comprimento vertical da fazenda de Eduardo = (x + 2)

Nova área da fazenda de Eduardo

= (x + 2) (x + 2) = x² + 4x + 4

Hope this Helps!!!

Espero que isto ajude!!!

Can someone help me

Answers

Answer:C

Step-by-step explanation:

OVER HERE WALKER
What is the circumference of a circle with a diameter of 21 cm ?

Answers

Answer:

65.97

Step-by-step explanation:

The coordinates for a quadrilateral are A(3, 5), B(7, 5), C(8, 3) and D(4, 3). Determine the type of quadrilateral.
Group of answer choices

Rectangle

Parallelogram

Square

Rhombus

Answers

Answer:

Rhombus

Step-by-step explanation:

Just graph on the coordinate grid.

Answer:

Parallelogram

Step-by-step explanation:

You have to put the coordinates in a Cartesian diagram and connecting the points you will find the figure

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

The chart indicates the time, speed, and velocity of five runners.

A 4-column table with 5 rows. The first column labeled runner has entries Garreth, Luigi, Elisa, Jasmine, Logan. The second column labeled total time has entries 45 minutes, 35 minutes, 40 minutes, 35 minutes, 35 minutes. The third column labeled speed has entries 6.2 miles per hour, 5.0 miles per hour, 6.2 miles per hour, 5.0 miles per hour, 5.6 miles per hour. The fourth column labeled velocity has entries 5.5 miles per hour west, 4.3 miles per hour east, 5.5 miles per hour west, 4.0 miles per hour south, 4.0 miles per hour north.
Which best describes the runners?

A.Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine.
B.Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction.
C.Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
D.Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.

Answers

Answer:

c (just took the test)

Step-by-step explanation:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.

As per the given information, in which the time, speed, and velocity of five runners, the statement that gives the best description about the runners is: “Garreth and Elisa ran ………..  in the opposite direction.” Hence, Option C is correct.

Who are called runners?

From a cardiovascular aspect, runners are highly fit athletes, but they frequently struggle with their balance, upper body strength, and glute power. Sports that use different muscles and gaits are recommended for runners.

While sprinters are taller and significantly more muscular, long-distance runners often have a shorter, lighter build. The types of workload each runner endures are a direct result of the differences between these two body types.

Logan and Jasmine moved in the opposite direction at the same speed as Jasmine, while Garreth and Elisa ran side by side. Luigi and Jasmine also covered the same distance.

Therefore, Option C is correct.

Learn more about runners from here:

https://brainly.com/question/2456125

#SPJ5

Solve for angle C.




Answers

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Im thinking the answer could be 40

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

LUI
• Chicken nuggets, burger, hot dog
Apple Juice or milk
French fries or fruit
HOOD
8
The list below shows some of the possible
outcomes. List the missing possible outcomes
below.
ter and
ps the
- only
nd a
Chicken nuggets, apple juice, French fries
Chicken nuggets, apple juice, fruit
Chicken nuggets, milk, French fries
Chicken nuggets, milk, fruit
Burger, apple juice, French fries
Burger, milk, French fries
Burger, apple juice, fruit
Hot dog, apple juice, French fries
Hot dog, milk, French fries
Hot dog, milk, fruit

Answers

Answer:

cool cool no c um hi hi hi hi hi hi hi hi hi hi hi hi hu x

11(4t + 1) whats the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]

Answer:

the answer is attached to the picture

please help.will mark brainliest!

Answers

Answer:

1 an -5/2

Step-by-step explanation:

The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.

PLEASE HELP....NEED TO SUBMIT IT NOW......

Answers

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

please help will give brainliest

Answers

Answer:

PLEASE GIVE BRAINLIEST IT IS 118

Step-by-step explanation:

(18x+28)+(7x+27) equals 180 degrees

25x+55= 180

25x=125

x=5

THIS MEANS THAT ANGLE ABC IS

18(5)+28.

90+28.

118 degrees. And since angle abc is equal to efg that is your answer.

Answer:

efg=abc

Step-by-step explanation:

18x+29+7x+27=180

25x+56=180

25x=124

x=124/25

18(124/25)+29= 118.28 or rounded 118

I want brainliest!!!

What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

Translate the word phrase into a math expression.

15 fewer than the product of 4 and a number.


A. (4+x)−15

B. 15−4x

C. 4x−15

D. 4÷x−15

Answers

Answer:

es la(b

Step-by-step explanation:

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?

Answers

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

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