a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?​

Answers

Answer 1

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27


Related Questions

The midpoint of AB‾AB is M(−4,−3)M(−4,−3). If the coordinates of A are (−1,-2)(−1,−2), what are the coordinates of B?

Answers

Answer:

(-7, -4)

Step-by-step explanation:

The midpoint formula is expressed as;

M (X,Y) = {(x1+x2/2), (y1+y2)/2}

Given that M(-4, -3) and (x1, x2) = (-1, -2)

X = x1+x2/2

-4 = -1+x2/2

-8 = -1 + x2

x2 = -8 + 1

x2 = -7

SImilarly;

Y = y1+y2/2

-3 = -2+y2/2

-3*2 = -2+y2

-6 = -2 + y2

y2 = -6 + 2

y2 = -4

Hence the coordinate of B is (-7, -4)

A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)

a
It is not a valid sample because it is only a short study.

b
It is a valid sample because money was offered to participants.

c
It is a valid sample because the first 10 people were selected to participate.

d
It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

A

Step-by-step explanation:

The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!

Answer:

A) It is not a valid sample because it is only a short study.

Which of the following best describes using a slope of -5/10 on a graph?

O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.

Answers

Answer:

move down five and move right ten

Ayuda es urgente porfavor

Answers

the answer is A



… hope this helps

Please helpppppp 7th grade math

Answers

Answer:

A    1 cup

Step-by-step explanation:

Number of batches

24/6 = 4

Cups needed

1/4 * 4 = 1

Answer: A 1 cup. Hope this helps

The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.

Which statement is true?

a. Every point on the graph is shifted down 1 unit.

b. Every point on the graph is shifted left 1 unit.

c. Every point on the graph is shifted right 2 units.

d. Every point on the graph is shifted up 2 units.

Answers

Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d

The triangles shown below are similar. Find the length of QS.

Answers

Answer: The value of QS is 8 cm.

Step-by-step explanation:

First calculating the side QT.

As per given figure:

ΔPQT ≈ ΔRST

[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]

Given:

PQ = 9 cm

RS = 3 cm

ST = 4 cm

Now putting all the given values in the above expression, we get:

[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]

Now calculating the value of QS.

QT = QS + ST

12 cm = QS + 4 cm

QS = 12 cm - 4 cm

QS = 8 cm

Thus, the value of QS is 8 cm.

Subtract one half of a number from 10

Answers

Answer:

10-1/2n

hope this helps

have a good day :)

Step-by-step explanation:

Greatest common factor for 63u^5, 45u^4, 27u

Answers

Answer:

9 u ^2

Step-by-step explanation:

Answer:

9u

Step-by-step explanation:

Greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u.

We can all divide them by 9, and that is the furthest we can get.

For the variables, the furthest we can get is u.

In conclusion, the greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u is 9u.

PLEASE HELP FAST, THANKS

Answers

Answer:

c=66 a=35 b=74

Step-by-step explanation:

According to the sum of the internal angles of the triangle is 180 °, The degree of each angle can be calculated

Work Out The Answers

Answers

Answer:

A1.) 87 + 63 =150

180 - 150 = 30

all the As is the same formula....

B1.) 180 - 123 = 57

57 + 82 = 139

180 - 131 = 41

can someone do my summer school work??​

Answers

Answer:

no i can't do all of it, but i can help you do it

i just won't do it for you

A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?

Answers

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

Find the area of the shape.
5 ft
2 ft
3 ft
10 ft
The area of the composite shape is
square feet

Answers

Answer

300

Step-by-step explanation:

multiply by each other

Identify the lines that are perpendicular: Line 1: y=4 Line 2: y=1/5x-5 Line 3:y=8 Line 4:y+5=-5(x+1)

Answers

Answer: Lines 2 and 4 are perpendicular.

What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter

Answers

Answer:

166.59 cm³ (approx.)

Step-by-step explanation:

En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda

Answers

Answer:

The acceleration in the system and in the rope is same as 5.88 m/s2.

Step-by-step explanation:

The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope

Let the acceleration is a and the tension in the string is T.

Use Newton's second law

[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]

What is the volume of this rectangular prism?
5 cm
3 cm
4 cm

A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3

Answers

Answer:

The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h    

V = 4cm × 3cm × 5cm

V = 60[tex]cm^{3}[/tex]

Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

Which is equivalent to 5.253 × 10-²?

Answers

Step-by-step explanation:

equivalent to 5.253 × 10-² is 0.05523

hope it is helpful to you

Find the area of
A triangle with a base of 8 units and a height of 13 units

Answers

Answer:

52 units squared

Step-by-step explanation:

[tex]13 \: units\: \times 8 \: units \div 2[/tex]

If the number of students taking online courses is increasing at a rate of 7% per
year, how long would it take for the number of students taking online courses to
double?
a) about 28.57 years
b) about 2.8 years
c) about 14.3 years
d) about 10.24 years

Answers

Answer:

it will take about 14.3 years

pls help me ???????????????????

Answers

Answer:

Hi‍♀️

Step-by-step explanation:

ΔMAN≅ΔNED

ΔRED≅ΔRGD

ΔLAN≅ΔLEI

ΔRKI≅ΔIYC

Hope it helps you!

Find the value of x (No explanation please :)

Answers

Answer:

48

Hope this helps!

Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.

Answers

Answer:

20 hours

Step-by-step explanation:

Mathematically we know that;

time = distance/ speed

distance = 239,000 miles

Time = 200 miles per minute

time = 239,000/200 = 1195 minutes

Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour

So we have 1195/60 = 19.91

This is approximately 20 hours

Answer:

D

Step-by-step explanation:

20 hours

transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam

Answers

Answer:

a) 70 m

b) 35 m

c) 57 m

d) 500 m

e) 7.5 m

f) 57 m

Step-by-step explanation:

10 dm = 100 cm = 1 m.

1 dam = 10 m

1 km = 1000 m

100 cm = m

Correct ☑ ✔ Question :-

Transform in metre

a) 7 dam

b) 350 dm

c) 57000 mm

d) 0.5 km

e) 750 cm

f) 5.7 dam

Solution ✔

a) 7 dam

1 dam = 10 m

so, 7 dam = 7 × 10 m = 70 m

b) 350 dm

10 dm = 1 m

so, 350 dm = 350/10 = 35 m

c) 57000 mm

1000 mm = 1 m

so, 57000mm = 57000/1000 = 57 m

d) 0.5 km

1 km = 1000 m

0.5 km = 1000 × 0.5 = 500 m

e) 750 cm

100 cm = 1 m

750 cm = 750/ 100 = 7.5 m

f) 5.7 dam

1 dam = 10 .

5.7 dam = 5.7 × 10 = 57 m

Find the measure of the largest angle.

Answers

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

Hope this help!!!

Have a nice day!!!

Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2

inches. The diameter of a golf ball is 1.68 inches.

Find the amount of space within the square prism not taken up by the golf balls.

6 in

2 in

2 in

O 21.5 in

O 7.4 in

O 16.6 in

O 31.4 in

Answers

Answer:

16.6 in

Step-by-step explanation:

Amount of space left = volume of prism - volume of 3 golf balls

volume of prism = base area x height

base area = area of a square  = length² = 2² = 4

volume = 4 x 6 = 24

Volume of a sphere = 4/3 x pi x r^3

r = 1.68/2 = 0.84

4/3 x 3.14 x 0.84^3 = 2.48

volume of 3 balls = 2.48 x 3 =

No stealing points!!!!!

Answers

Answer:

8.74x10^5

Step-by-step explanation:

I think this is it..hope it helps

8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.

HELP for these 2 !!! it’s asking if it’s a function or not

Answers

they are both not functions, they have repeating numbers

Combine like terms
1) 3y + 4y
2) -7( -4 - 2s)
3) 7f - 9f - 4
4) 9 + 7 + 6d + 2d
5) 7 + 9r + 3
6) -2(7 - 8s) - 4
7) q - 9q
8) -3( -2h + 6)
9) 3q + 9q - 4 + 2
10) 3 + 5(2d - 6)

Answers

Answer:

1.7y

2.-14s

3.-2f

4.23d

5.19r

6.-2s

7.-9q

8.24h

9.10q

10.23d

Step-by-step explanation:

I TRY MY BEST TO SOLVE IT

HOPE IT HELPS

CORRECT ME IF I AM WRONG

1. 7y

2. 28 + 14s

3. -2f - 4

4. 16 + 8d

5. 10 + 9r

6. -18+ 16s

7. -8q

8. 6h - 18

9. 12q - 2

10. 10d -27

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