A cylinder has a radius 3 inches and height 5 inches. A cone has the same radius and height. What is the volume of the cylinder

Answers

Answer 1

Given Information :-

A cylinder with following dimensions :

Radius = 3 inchesHeight = 5 inches

To Find :-

The volume of the cylinder

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star[/tex]

Where,

r = radius h = height

Solution :-

Putting the values in the formula, we get,

[tex] \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ [/tex]

Thus, the volume of the cylinder is 141.3 cm³.

[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]

Answer 2

Step-by-step explanation:

As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

[tex] \: [/tex]

We know,

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\[/tex]

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

[tex] \: [/tex]

Now, we will substitute the given values in the formula :

[tex] \: [/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\[/tex]

Note :

Answer might be different if we take the value of π as 22/7 .

Related Questions

HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches?

Answers

V= length x width x height

So 5 x 8 x 20

5 x 8 = 40

40 x 20 = 800

(c) 111 IT IIISH (Find the value of):
6
E (4n -2)
1 =2

Answers

Answer: 70

Step-by-step explanation:

One side of a rectangle is twelve feet longer than three times another side of the rectangle . Find the sides we also know that the area of the rectangle is 231f * t ^ 2

Answers

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in 1/2 hour to reach her goal?

Answers

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

help, Surface area of cubes and prisms

Answers

Answer:

2382

Step-by-step explanation:

You can use rectangle surface area= l × b

2×(27×21)+2×(27×13)+2×(21×13)

=2382

am I right? please only answer if you are positive that you’re correct. thank you!

Answers

Answer:

yes you are correct :)))

A person who can afford a monthly payment of __________ and signed a mortgage with a monthly payment of __________ was most likely the victim of predatory lending.

A. $900; $1000
B. $900; $800
C. $900; $900
D. $900; $700

Answers

Answer:

A . 900-1000

Step-by-step explanation:

James found a pair of shoes he wanted at two different stores. At store A they were $35 and he had a 20% off coupon. At store B they were $40 and he had a 30% off coupon. Both stores had 7% sales tax. Which would be the better deal, and by how much?

Answers

Answer: you gotta add

35+20 and that =55

55+30 and that =85

85+40 and that =125 the next step is

125+7 =132

Step-by-step explanation: hope this helps:)

Figure 1
Figure 2
B
D
E
С
Z
128 cm
2
am
Area of Figure 1 =
Area of Figure 2 =
Perimeter of Figure 1 = 24 cm
Perimeter of Figure 2 = 21 cm
BC=
DE = 7 cm

Answers

Tip: Go to the internet and put the topic you are focused more on that you posted in Brainly

Step-by-step explanation:

Try it to give you some help

100 pts what is 2X2+6X5+8

Answers

Answer:

It's 42.

Step-by-step explanation:

Order of operations:

4+6*5+8

4+30+8

34+8

= 42

Therefore, the answer is 42.

Answer:

42

Step-by-step explanation:

What is the value of z?

Answers

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

Explain why 0.323232 is greater than 0.32

Answers

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

If 12% of a number is 30, find 4% of that number.

Answers

4% of 30 would be 10

12%= 30

-> 100%= 30÷12×100

-> 100%= 250

4% of 250

-> 4%=250÷100×4

-> 4%= 10

Complete the sentence.
If a section of a cicle graph needs to represent 15%, then its angle measure will be _____ degrees. ​

Answers

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

$
6
4
No
2+
of
black
tan
gray white
Color
green
orange
O green
O orange
(a) Which color had the fewest T-shirts sold?
black
o tan
O gray O white
How many T-shirts of that color were sold?
T-shirt(s)
(b) How many more gray T-shirts were sold than tan T-shirts?
more T-shirt(s) sold
(C) For how many colors were there fewer than 10 T-shirts sold?
color(s)
Explanation
Check
© 2022 McGraw HIN

Answers

Answer:

a. tan

3 T-shirts

b. 7 - 3 = 4 T-shirts

What is 594 minus 236?

Answers

Answer:

358

Step-by-step explanation:

the answer is 358 because

can someone please help me solve this? thank you!

Answers

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet


Linear travel = circumference x rotations


linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46

Answers

Answer:

41.86 is the right answer

Step-by-step explanation:

solve for x ~
[tex]4x - 96 = 0[/tex]


thankyou ~​

Answers

Step-by-step explanation:

4x - 96 = 0

transferring 96 to Right side

4x = 96

x = 96/4

x = 24

Hope it helps you :)

4x-96=0
4x=96
X=96/4
X=24

Hope this helps:)

is this correct?

A.yes

B. No

C. Maybe

D. I DUNNO???!!!

Answers

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

 

What is the value of x?

Answers

[tex]\sin 30^{\circ} = \dfrac{LJ}{8\sqrt 2}\\\\\implies LJ = 8\sqrt 2 \sin 30^{\circ} =8\sqrt 2 \cdot \dfrac 12 = 4\sqrt 2\\\\ \text{Now,}\\\sin 45^{\circ} = \dfrac{LM}{LJ} \\\\\implies LM = \sin 45^{\circ} LJ\\\\\implies x = \dfrac 1{\sqrt 2} \cdot 4\sqrt 2 = 4 ~~ units.[/tex]

Answer:

x = 4

Explanation:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

Solve for LJ:

[tex]\hookrightarrow \sf sin(30) = \dfrac{LJ}{8\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf sin(30)*8\sqrt{2} ={LJ}[/tex]

[tex]\hookrightarrow \sf {LJ} = 4\sqrt{2}[/tex]

Solve for LM:

[tex]\hookrightarrow \sf \sf sin(45)= \dfrac{LM}{4\sqrt{2} }[/tex]

[tex]\hookrightarrow \sf \sf sin(45)*4\sqrt{2} = {LM}[/tex]

[tex]\hookrightarrow \sf {LM} = 4[/tex]

An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?

A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125

B.
{1,2,3,skip,4,5,6}; P(1)=0.14

C.
{1,2,3,4,5,6, skip}; P(1)=0.125

D.
{1,2,3,4,5,6}; P(1)=0.17

Answers

Using it's concepts, it is found that the sample space and the desired probability are given by:

C. {1,2,3,4,5,6,skip}; P(1)=0.125

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:

{1,2,3,4,5,6, skip}

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, one out of eight outcomes result in a one, hence:

P(1) = 1/8 = 0.125.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6

Answers

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

G. Between 6 and 7

Step-by-step explanation:

As 41 lies between the square of 6 and 7

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t​

Answers

Hi the answer is 9sin ur welcome Hope this helps have a great day

Answer:

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

or x² +y²= 9

Step-by-step explanation:

In Cartesian form, the equation is expressed only in terms of y and x.

x= -3sin(t) -----(1)

y= 3cos(t) -----(2)

I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.

Relating sine to cosine:

sin²(t) +cos²(t)= 1

[sin(t)]² +[cos(t)]²= 1 -----(3)

From (1):

[tex] \frac{x}{ - 3} = \sin(t) [/tex]

[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)

From (2):

[tex] \frac{y}{3} = \cos(t) [/tex]

[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)

Substitute (4) &(5) into (3):

[tex]( - \frac{x}{3} )^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]

The steps below are optional as the above is already considered to be the Cartesian form.

[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]

Multiplying both sides by 9:

x² +y²= 9

Find the median of the set of numbers below.
15, 16, 15, 7, 21, 18, 19, 20, 11

Answers

Answer :

16

Explanation :

You arrange the numbers from least to greatest. 7,11,15,15,16,18,19,20,21 After you do that you will find the numbers that are in the center and that will be your median.

What is the surface area of this right prism?

600 in²

720 in²

840 in²

1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.

Answers

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

Surface area of a triangular prism

surface area = bh + l(x + y + z)

where

b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

learn more on surface area here: https://brainly.com/question/2835293

6. Freddy gets an allowance of £50 each month.
His parents increase is by 35%. How much does
Freddy now receive for his allowance?

Answers

Answer:

$67.5

Step-by-step explanation:

New value =

50 + Percentage increase =

50 + (35% × 50) =

50 + 35% × 50 =

(1 + 35%) × 50 =

(100% + 35%) × 50 =

135% × 50 =

135 ÷ 100 × 50 =

135 × 50 ÷ 100 =

6,750 ÷ 100 =

67.5

For the polynomial f(X)=2x^3-9x^2+11x-20
As
X -> -♾️,f(X) -> ♾️

A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

I'm assuming its because x isn't negative infinity because the leading coefficient is positive

Consider this graph of a standard normal curve.





What percentage of data is represented by the shaded area?

Enter your answer as a number, like this: 42%

Answers

34% since it falls between -1 to 1 which is the 68 percentile. Therefore 68/2 = 34%
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