Find the volume of the composite solid. Round your answer to the nearest hundredth. A composite shape consisting of a semi-cylinder placed atop a cube. The sides of the cube are labeled 4 inches. Find the volume of the composite solid. Round your answer to the nearest hundredth. A composite shape consisting of a semi-cylinder placed atop a cube. The sides of the cube are labeled 4 inches.

Answers

Answer 1

Answer:

89.14 in.³

Step-by-step explanation:

A semi-cylinder is half of a cylinder. A cube has equal sides. So if it is placed on top a cube, the following dimensions can be deduced:

The length of one side of the cube (s) = the diameter (d) of the semi-cylinder and also the height (h) of the semi-cylinder

Length of one side of the cube = 4 in.

Therefore,

Diameter of semi-cylinder = 4 in.

radius (r) = ½(4) = 2 in.

Height (h) of semi-cylinder = 4 in.

Let's find the volume of the composite solid

Volume of the composite solid = volume of semi-cylinder + volume of cube

= ½(π*r²*h) + (s³)

Volume of composite solid = ½(π*2²*4) + (4³)

= ½(50.27) + 64

= 89.135

≈ 89.14 in.³ (nearest hundredth)


Related Questions

Find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000​

Answers

Answer:

12

Step-by-step explanation:

You have to have the 2 or 3 as the first digit.

After that, the other 3 digits can be done in 3! = 6 ways.

So, the total is 2*3! = 12

the answer is 12 heheieej

Please answer

1/8 - 1/4 (3 - 1/2) + 2/3

And

2/9 - 1/6 (8- 2/3) + 1/2

Answers

Answer:

1/6, - 1/2_____________

pleaseeee helppp mee!!!!

Answers

Answer:

C

Step-by-step explanation:

If each of the 4 siblings expect to pay the same (share equally), then y is the cost of the meal, 3 is the extra fee for each meal, so each expects to pay  y + 3 for a meal.  Figure C shows 4 such payments, all equal to each other.

Plz I need help with this

Answers

the answer is B. (3,1)

Answer:

B

Step-by-step explanation:

Because you go 3 right from 0,0 and that gives you 3,0 then you go up 1 and that gives you 3,1. So your answer is B!

Hope this helps!

PLEASE HELP!! I dont understand choose all that apply
Venetta buys 2 pounds of pistachios and 3 pounds of almonds.
The pistachios cost $4 more per pound than the almonds. She
pays a total of $48. Select all the correct statements about this
situation.
Reducing the number of pounds of almonds by one results in a
total cost of $40.
The pistachios cost twice as much per pound as the almonds.
The cost p. in dollars, of 1 pound of pistachios is modeled as 2p +
310 - 4) = 48.
One pound of pistachios plus 1 pound of almonds cost $20.
The cost a, in dollars, of 1 pound of almonds is modeled as 2la – 4)
+ 3a = 48

Answers

Answer:

Step-by-step explanation:

I cant fully answer it, I'm having trouble with too. But i know for a fact that the cost of a pound of pistachios is 12 dollars. The cost of a pound of almonds is 8 dollars. Sorry -_-

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

the power of a should be 3.

True or False The slope of a line can be found by finding the quotient of the change in y and the change in x.

Answers

Answer:

false

Step-by-step explanation:

Hey! I need help answering this :)

Answers

-72w^19r^8
hope this helps!

Answer:

It's -72 W19 r8

Step-by-step explanation:

A cell phone company charges a flat rate of $2.50 per month, with an additional charge of $0.15 per minute. How many minutes did Laura talk on her cell phone if her monthly bill was $72.25?

Answers

Answer:

465 minutes

Step-by-step explanation:

First things first, you have to make an equation! It would be...

2.50+0.15m=72.25

Keep in mind that m stands for minutes.

Now let's solve it!!

First let's subtract 2.50 from both sides.

0.15m=69.75

Now, let's divide 0.15 on both sides!

m= 465

465 minutes!!

Hope this helped!! :D

What is the volume of a cylinder with a base radius of 7in. and a height of 12in?

Answers

Answer:

1847.26 cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = Ah

Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:

A = πr²

Where r is the radius of the circle.

Now, find the area of the base of the cylinder:

A = π(7)²

A = 153.93804

Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.

V = 153.93804(12)

V = 1847.26

Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:

1847.26 cubic inches

Peaches are on sale at the farmer's market for $1.75
per pound. If Ida buys $8.75 worth of peaches, how
many pounds of peaches did she buy?

Answers

Answer:

5 Pounds of peaches

Step-by-step explanation:

Okay so your first step will be to divide 8.75 by 1.75.

That gives you 5, so she bought 5 pounds

Answer:5 Pounds of peaches

Step-by-step explanation:

workout the following:8y3×2y2​

Answers

Answer:

16y^5

Step-by-step explanation:

hope this helps with the work

Answer:

the answer is 16[tex]y^{5}[/tex]

Step-by-step explanation:

What is the area of the figure?

Answers

Answer:

252 square inches.

Step-by-step explanation:

Split the Cube into three shapes.

You can make the biggest cube 12 by 15 and mutliply those together.

That would be 180.

Now you are left with 2 other smaller cubes.

3 * 6 = 18

6 times 9 = 54

The Final Answer is 252 square inches.

Simplify: 5a3 + 3a + 7a3-2a-4a2 A.12a²-4a²-a B.12a²-4a²+a C.2a²-4a²+a D.8a²+a​

Answers

Answer:

It is B) 12a^3 - 4a^2 + a

Step-by-step explanation:

[tex]5 {a}^{3} + 3a + 7 {a}^{3} - 2a - 4 {a}^{2} \\ \\ (5 {a}^{3} + 7 {a}^{3} ) + ( - 4 {a}^{2} ) + (3a - 2a \: ) \\ \\ 12 {a}^{3} - 4 {a}^{2} + a[/tex]

I hope that is useful for you :)

Jessica baked 3p cookies. Alex baked twice as many cookies as Jessica. Sarah baked 10 fewer cookies than Jessica. Find the total number of cookies baked in terms of p. A. 2p B. 12p – 10 C. 10 – 12p D. 15 p – 10

Answers

Answer:

B) 12p - 10

Step-by-step explanation:

J = 3p

A = 2(3p) = 6p

S = 3p - 10

add together:

3p + 6p + 3p - 10 = 12p - 10


What is the volume of a rectangular prism whose dimensions are 2 feet, 2.5 feet and 4 feet?
A 8.5 cubic feet
B 20 cubic feet
C 46 cubic feet
D 200 cubic feet

Answers

Answer:A

Step-by-step explanation: you need to add them so 8.5

HELP
Vaughn is calculating the volume of the cylinder below using the following work.
51 cm
24 cm
V = 3.14(12)(5)
= 3.14(144) (5)
= 2,260.8 cm
What was Vaughn's first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and
5.
He used the wrong units in his final answer.

Answers

Answer:

He confused the height and diameter

Step-by-step explanation:

Given that,

The radius of the cylinder, r = 2.5 cm

Height of the cylinder, h = 24 cm

The volume of the cylinder is given by the formula as follows :

[tex]V=\pi r^2 h\\\\=3.14\times (2.5)^2\times 24\\\\=471\ cm^3[/tex]

Vaughn is confused in diameter and the height of the cylinder. He takes radius as 12 cm and height as 5 cm which is wrong. Hence, the correct option is (a).

In the equation 3s + 135 = 4.5 (s+10), what does the expression (s+10) represent?

Answers

Answer:

no clue but 69 is always the answer

Step-by-step explanation:

Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.

Answers

to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.

Which is a number that can be written as a fraction in the form /?

Answers

Answer:

the third one/second one

Step-by-step explanation:

The ratio of sam's age to Hank's age is 5 to 3.if the sum of their ages is 24, how old is Hank?
a. 21
b. 9
c. 19
d. 15

Answers

Answer:

c is the answer if this question

Evaluate the expression 4.x2 + 3y for x = 5 and y=6.​

Answers

Answer:Find an answer to your question Evaluate the expression 4x2+3y for x = 5 and y =6.

i’m pretty sure it’s 58

Solve the system of equations.
y = 2x
x + y = -6

Answers

Answer:

y=-4

x=-2

Step-by-step explanation:

Given:

x+y=-6

y=2x

So, you can then substitute y for 2x

x+(2x)=-6

Then, solve for x

3x=-6

x=-2

Then solve for y

y=2x=2(-2)=-4

If y = 2x then you will just plug that into the next equation
x+2x = -6
3x = -6
x = -2

y = 2(-2)
y = -4

Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters.

What is the length of Jason’s tool shed?

Answers

Answer:

12 sq meters

Step-by-step explanation:

96 / 8 = 12 sq meters

Answer:

12

Step-step

96/8

=12

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

30 meters

13. please help me out ill mark you brainlist

Answers

C is the right answer, sorry if im wrong

Answer:

C

Step-by-step explanation:

All points of the figure are in Q1. Rotating about the origin 180° clockwise puts the figure in Q3, which has -x and -y coordinates.

Here is a linear equation: y = 1/4x +5/4


Are (1, 1.5) and (12, 4) solutions to the equation?

Yes or No?

PLEASE NEED HELP

Answers

Step-by-step explanation:

(1,1.5) is the solution but (12,4) is not the solution of given equation.

1.5=1/4×1+5/4(which is true)

4=1/4×12+5/4(which is false)

The point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Given points are (1, 1.5) and (12, 4). To check whether the points are the solution of the equation or not substitute the coordinates in the equation and check if LHS is equal to RHS then it is a solution otherwise not.

Check the point (1,1.5),

y=(1/4)x + (5/4)

4y = x + 5

(1.5)4 = 1 + 5

6 = 6

Check the point (12k,4),

y=(1/4)x + (5/4)

4y = x + 5

(4 x 4 ) = 12 + 5

16 ≠ 17

Therefore, the point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Please help AND NO LINKS OR U WILL BE REPORTED!
Identify the reference angle ∅ for each given angle, Ф.

When Ф = 300°, ∅=______degrees
When Ф = 225°, ∅=______ degrees
When Ф = 480°, ∅=______degrees
when Ф = -210°, ∅= ______ degrees

Answers

Answer:

See below for answers

Step-by-step explanation:

300° is in Quadrant IV, so its reference angle is 360°-300°=60°

225° is in Quadrant III, so its reference angle is 225°-180°=45°

480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°

-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°

What is the distance between two points(2,-6)(-7,1)

Answers

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)

[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)

find the total surface area of the prism 10 2 6

Answers

TSA = 2 X Base area + LSA(Perimeter X height)

Answer:

88 units

Step-by-step explanation:

First, we need to find the surface area of each side of the prism. Assuming this is a rectangular prism, judging by the dimensions, that makes things easier.

10*2=20

We'll multiply 20 by 2 since there are 2 sides with these dimensions, resulting in 40 units.

2*6=12

We'll multiply that by 4 since there are 4 sides with these dimensions, resulting in 48 units.

Adding 48 to 40, we get 88.

Hope that helped.

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