The volume of a sphere is two-thirds the volume of a cylinder.



What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u3, in u3?

Answers

Answer 1

Answer:

21u3

Step-by-step explanation:

Given that the volume of  a sphere is two-thirds the volume of a cylinder.

Let the volume of the sphere be A and that of the cylinder be B then

A = 2/3 B

Given that the volume of the sphere of same diameter as a cylinder is 14u3 then

14u3 = 2/3 B

Multiply both sides by 3

42u3 =2B

Divided both sides by 2

21u3 = B

The volume of the cylinder in terms of u3 is 21u3


Related Questions

On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school

Answers

Answer:

35.2 ft

Step-by-step explanation:

Multiply the scale factor and the height.

35.2
You need to multiplying the scale factor and the height

Find the equation of the linear function represented by the table below in slope
intercept form

Answers

Answer:

y=x+2.

Step-by-step explanation:

1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:

[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]

2. if to evaluate the equation, then

x+3=y+1; ⇔ y=x+2 (slope-interseption form).

Can someone please tell me the answer ..

Answers

Answer:

148

Step-by-step explanation:

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

The new jar would be smaller than the original.

Step-by-step explanation:

First you would have to find one 1/5 of the original size. This gives you the increased size.

Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.

1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.

The new jar would be smaller than the original.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

First, you would have to find one 1/5 of the original size. This gives you the increased size.

Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.

1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

2 1/2 divided by 3 4/6=?
Please help me.

Answers

Answer:

15/22

Step-by-step explanation:

a ship sails 400km in 18hours.how many days will it take to cover 1600km at the same rate?​

Answers

Answer:

72 hours

Step-by-step explanation:

1600/400=4

so 4 x 18= 72 hours

400km=18hrs
1600km=xhrs
4xkmhrs = 288kmhrs
xhrs = 288kmhrs/4km
xhrs = 72 hours

I need help... plssss :))

Answers

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

Useless people all races ages 8-30 go do something with your life and do something that is worth of memory before its all gone the after life is a very nice place to go to but if you guys keep acting so foolish you will have to go to hell unless you want to replenish those sins and bad things you have done even if god does not exist a bad and good place will.

Answers

Answer:

i agree 100%

Step-by-step explanation:

Please help!!!!! Explain

Answers

Answer:

If the total price of an object is A, and we have a tax of X%, then the new price of the object is:

Price = A + A*(X%/100%) = A*(1 + X%/100%)

In this case, the initial price of the car is:

A = $16,368

a) the tax is 6.6%

In this case, the price will be:

Price = $16.368*(1 + 6.6%/100%) = $17,448.288

b) the tax is 8.25%

In this case, the price will be:

Price = $16.368*(1 + 8.25%/100%) = $17,718.36

c) the tax is r.

we only replace X% by r.

Price = $16.368*(1 + r/100%)

d) We want to solve for r the above equation, we just need to isolate r.

Price/( $16.368) = (1 + r/100%)

Price/($16.368) - 1 = r/100%

(Price/($16.368) - 1)*100% = r

The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?

Answers

Answer:

The population had a 400% increase

when do you go to soccer 4:00 A.M. or 4:00 P.M.

Answers

4 pm, who goes to soccer at 4 am

Answer:

4:00 pm for me because its right after school

Step-by-step explanation:

b) Simplify (4ab^2)^3​

Answers

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

[tex](4ab^2)^3[/tex]

=> [tex]4^{3} a^{3} b^{6}[/tex]

=> [tex](4 \times 4 \times 4) a^{3} b^{6}[/tex]

=> [tex]64a^{3} b^{6}[/tex]

Can someone help!!!!

Answers

Answer:

12.7=x

Step-by-step explanation:

y=mx+b

10=.65x+1.75

-1.75       -1.75

8.25=.65x

.65     .65

12.69=x round up

12.7=x

The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop

Answers

Answer:

The table shows locations on a map.

Place

parkfarmers marketpost officebus stop

Location

(-2,2)(-2,3)(2, 2)(6,-3)

Which places on the map are 4 units apart?

O the park and the farmer's market

O the farmers market and the bus stop

the post office and the park

O the post office and the bus stop

Step-by-step explanation:

Distance :---

[tex]→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}[/tex]

Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?

A. 2 1/2 inches

B. 4 1/4 inches

C. 7 3/4 inches

D. 8 1/2 inches

Answers

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!


Two of the known angles in a trianglemeasure 120 and 22 What is the measure of the third angle?

Answers

Answer:

120+22+x=180

x=38

120+22+38=180

Step-by-step explanation:

Hope it helps

Mark me as brainiest

Why is 2/10 equivalent to 1/5?

Answers

Answer:

If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]

Answer:

because you have to find common denominators

2/10= 1/5

2/10= 1x2/5x2

Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.

2/10=2/10

Hope it helped!! Pls mark brainliest :)) Have a good day

Step-by-step explanation:

The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
meter. (V = 53)
** Round to one decimal place.

Answers

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

describe and correct the error in writing an equation of the line with a slope of 2 and a y intercept of 7

Answers

Answer:

An equation of the line with a slope of 2 and a is inercept of 7

Step-by-step explanation:

I think this is what you are saying?

Select the correct symbol

Answers

Answer:

The answer is <

The answer is B.< ....hope that helped

10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6

Answers

Answer:

it's times 4 every time

Step-by-step explanation:

4.5 times 4 is 18 etc

Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x

Answers

Answer:

dont know

Step-by-step explanation:

a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?​

Answers

Answer:

The cylindrical tank can hold 9.7 cubic meter  more water than the rectangular prism shape tank .

Step-by-step explanation:

We are given that

Diameter of cylinderical water tank, d=4 m

Radius of  cylinderical water tank,r=d/2=4/2=2 m

Height of  cylinderical water tank,h=3 m

Length of rectangular prism, l=7 m

Width of rectangular prism ,w=2 m

Height of rectangular prism, h=2m

Volume of cylinder=[tex]\pi r^2 h[/tex]

Where [tex]\pi=3.14[/tex]

Using the formula

Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]

Volume of rectangular prism=[tex]lwh[/tex]

Using the formula

Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]

Difference between volumes=37.7-28=9.7 cubic meters

Hence, the cylindrical tank can hold 9.7 cubic meter  more water than the rectangular prism shape tank .

Money is borrowed at 10% simple interest. After one​ year, ​$597.30 pays off the loan. How much was originally​ borrowed?

Answers

that means it’s $925

Answer:

$543

Step-by-step explanation:

597.3/1.10 =543

543*.10 = 54.3

597.3-54.3 = 543

Is 15 ft 20 ft 24 ft a right triangle

Answers

Answer:

No

Step-by-step explanation:

If:

a=15

b=20 then

c (hypotenuse)=25

Answer:

No

Step-by-step explanation:

A right angle is always 90°

u add up all the sides, if it doesn't equal 90 then it's not a right triangle.

so 15 + 20 + 24 = 59 so this is not a right triangle.  

7/8 divided by 1/16 in simplest form?

Answers

Answer:

14

Step-by-step explanation:

Keep, change, flip!

7/8 / 1/16

7/8 x 1/16

7/8 x 16/1

Equals...

112/8

Which can be simplified to...

14!

Hope this helped!

Answer:

14

Step-by-step explanation:

(7/8)/(1/16) = 7/8 × 16/1

7 × 16/8 = 7 × 2 = 14

Factorise this expression as fully as possible
2x2 + 6x

Answers

Answer:

The factored expression is: [tex]2x(x + 3)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]2x^2 + 6x[/tex]

To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:

Numeric:

GCF between 2 and 6 is 2, because:

2 - 6| 2

1 - 3|

1 and 3 are not divisible by the same number, so 2.

Coefficient:

Between x² and x, x.

Factorizing:

Simplifying by 2x.

[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]

The factored expression is: [tex]2x(x + 3)[/tex]

Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).

Answers

Answer:

y=1/2t+1

Step-by-step explanation:

To get a perpendicular line, the slopes have to be reciprocals.

David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h

Answers

Answer:

1.5 km/hour

Step-by-step explanation:

d is the David's speed in still water

c is the speed of the current

Going with the current, he travels d+c km per hour.

Going against the current, he travels d-c km per hour.

d+c = (20 km)/(2.5 hours) = 8 km/hour

d-c = (20 km)/(4 hours) = 5 km/hour

Add the equations to eliminate the c terms

d+c = 8

d-c = 5

----------

2d = 13

d = 6.5 km/hour

c = 8-d = 1.5 km/hour

(2) Janie has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number of grapes. Mark all that apply. A) 8 to 5 B) 8:13 C) 8/13

Answers

Answer:

B

Step-by-step explanation:

Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.

8 red grapes to 13 total grapes=

8:13 or 8/13

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