A hemisphere fits snugly inside a cylinder with a radius of 12 cm. A cone fits snugly inside the same hemisphere. What is the volume of the cylinder in terms of LaTeX: \piπ? Show all work.

Answers

Answer 1

Answer:

The volume of the cylinder is 1,728·π cm³

Step-by-step explanation:

The given parameters are;

The radius of the cylinder, r = 12 cm

The location of the hemisphere = Inside the cylinder

The size relationship between the hemisphere and the cone = Snuggly fit

Therefore, we have;

The radius of the hemisphere = The radius of the cylinder = 12 cm

The height of the cylinder, h = The radius of the hemisphere = 12 cm

The volume of the cylinder, V = π·r²·h

Where;

h = 12 cm

r = 12 cm

Therefore;

V = π·r²·h = π × (12 cm)² × 12 cm = (12 cm)³·π = 1,728·π cm³

The volume of the cylinder, V, in terms of pi (π) is, V = 1,728·π cm³.


Related Questions

Which type of triangle will always have at least 1-fold reflectional symmetry?

right triangle
obtuse triangle
acute triangle
isosceles triangle

Answers

Answer:

Isosceles triangle I think

Step-by-step explanation:

The triangle that will always have at least 1-fold reflectional symmetry is the isosceles triangle. That is option D.

What is reflectional symmetry?

Reflectional symmetry is found in geometric shapes that can be folded over onto itself along a line.

The isosceles triangle has only one line of symmetry or 1-fold reflectional symmetry.

Therefore, the triangle that will always have at least 1-fold reflectional symmetry is the isosceles triangle.

Learn more about symmetry here:

https://brainly.com/question/1002723

#SPJ9

Solve for x. Leave your answer in simplest radical form.

Answers

x^2 = 5^2 + 10^2
x^2 = 25 + 100
x^2 = 125

Melanie invested $3,800 in an account paying an interest rate of 2 % compounded
quarterly. Sebastian invested $3,800 in an account paying an interest rate of 2%
compounded monthly. After 6 years, how much more money would Sebastian have in
his account than Melanie, to the nearest dollar?

Answers

Answer:

.85

Step-by-step explanation:

Compound interest formula

[tex]PV(1+\frac{i}{n})^{nt}[/tex]

Melanie:

[tex]3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21[/tex]

Sebastian:

[tex]3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06[/tex]

4824.06-4283.21= .85

Given this portion of an input-output table for a linear equation (that is a
function), find the slope and the y-intercept. Select the answer below that
represents your equation:

Answers

Answer:

y = 1/2x + 7

Step-by-step explanation:

answer it plz it ain't hard so

Answers

Answer:

(4,5)

Step-by-step explanation:

If it's not hard then why do you need help????

Answer:

C). (4,5)

Step-by-step explanation:

Basically crawl before you walk, x axis then y axis.

{y=2x
{x=-y+6

please help i have a 27 in this class please help

Answers

Answer:

x = 2

Step-by-step explanation:

y=2x so

x=-2x+6

add 2x to both sides

3x=6

divide both sides by 3

x=2

the answer would be x =2

How do I round 2726.821341 to the nearest cent

Answers

Answer:

Look at the number to the right of the full cents, if the number is five or more, increase the cents by 1. If the number is four or less, keep the cents the same. For example: Round $143.864. Look at the last digit, that is 4, since 4 is less than 5 so keep cents the same.

Step-by-step explanation:

Step-by-step explanation:

Calculator Use

Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.

Rounding Numbers

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

Rounding to the nearest hundred is 800

Rounding to the nearest ten is 840

Rounding to the nearest one is 838

Rounding to the nearest tenth is 838.3

Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Round to the Nearest Hundred: 3250

Identify the hundreds digit: the 2 in 3250

Identify the next smallest place value: the 5 in 3250

Is that digit greater than or equal to five? Yes, so round up.

Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

Identify the tens digit: the 2 in 323.5

Identify the next smallest place value: the 3 in 323.5

Is that digit greater than or equal to five? No, so round down.

The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

Identify the tens digit: the first 9 in 499

Identify the next smallest place value: the second 9 in 499

Is that digit greater than or equal to five? Yes, so round up.

The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

Identify the tenths digit: 7 in 0.74

Identify the next smallest place value: the 4 in 0.74

Is that digit greater than or equal to five? No, so round down.

The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

Identify the hundredths digit: the 4 in 3.141

Identify the next smallest place value: the second 1 in 3.141

Is that digit greater than or equal to five? No, so round down.

The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

Related Calculators

To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Calculator. Round to multiples of whole numbers or decimals such as tenths, hundredths, thousandths, etc.

Linear Equations, Functions, and Inequalities
Using Equivalent Systems of Equations
Warm-Up

Answers

Okay I got it. Explan- My head

A youth group has 25 members. A. If at least 12 of the members are male, write an inequality to represent the number of female members. Make sure it's an inequality please :)

Answers

Answer:

x ≥ 12

y ≤ 25 - x

Step-by-step explanation:

Given:

Number of total members = 25

Number of at least male members = more than 12

Find:

Inequality

Computation:

Assume number of female members = y

So,

x ≥ 12

And

y ≤ 25 - x

Factor the following:
x² +48 - 12
2
(x) (x
Be sure to include a + sign or - sign with your number
Previous
HELPPPPPP MEEEEE

Answers

Answer:

this is a confusing one

Step-by-step explanation:

x^2+36, just substract 12 from 48

Substitute each variable to determine whether the inequality statement is true or false 16>f if f=17

Answers

Answer: The statement is false.

Step-by-step explanation:

We have the statement:

(16 > f) if  f = 17

In this case:

f = 17 is the hypothesis.

16 > f is the conclusion.

Then assuming that the hypothesis is true, we need to check if the conclusion is also true.

Then:

16 > f  means "16 is larger than f"

Now let's assume that the hypothesis is true, then f = 17, and we can replace this in the inequality above, now we get:

16 > 17

This says "16 is larger than 17"

This is clearly false, then when the hypothesis is true, the conclusion is false.

This means that the statement:

" 16>f if f=17 "

is false.

A plumber charges $50 to visit a house plus $80 for every hour of work. Define a variable and write an expression to represent the total cost of hiring a plumber.

Answers

Answer:

50+80*x

Step-by-step explanation:

50+80h
H=how many hours the plumber works

how do you subtract a power from a power

Answers

Answer:

Am not sure if u subtract it cuz

if x^2^2 u multiply instead of subtracting & x = 4

It’s in division where u subtract and if it’s same base like x^2^2 •x^3 then u add & u get 4+3 = x^7

Step-by-step explanation:

THIS IS SO HARD ILL CROWN U BRANLIEST IF U GET IT CORRECT

Which shows the solution of the combined inequality?

−1≤2−j<−5

Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one


Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one


Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five


no solution

Answers

Answer:

Its B

Step-by-step explanation:

My classmate told me and I got it right

Answer: no solution

Step-by-step explanation:

took the test

Jeremy and Charlie brought in candy for the class. Jeremy
brought in 1.67 pounds of candy, while Charlie brought in 1.5
pounds of candy. How many pounds of candy did they bring in
overall?

Answers

3.17 in all (I’m sorry if this answer is wrong)

plz help The link under is the question I need help today

Answers

Answer:

the fourth one: 36.25

Step-by-step explanation:

the 3 in 20.342 is in the tenths place.

0.3*100=30

the three in 36.25 is in the tens place

990*500/600+51-100+10
What is the answer

Answers

Answer:786?

Step-by-step explanation:

Answer: if that is supposed to be a multiplication sign its 786

Step-by-step explanation:

In the rhombus m<1=160° . What are m<2 and m<3?

Answers

Step-by-step explanation:

thank u,...............................

Find the value of x
PIC IS BELOW

Answers

Answer:

a. 5

Step-by-step explanation:

Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12

Answers

Answer:  no no yes yes

Step-by-step explanation:

Plz I need help with 1 and 2 please help me

Answers

when finding slope the answer is always going to be rise/run so in this case,

#1 would be 1/2 (bc it goes up one and right 2)

#2 we have a rise of 3 and a run of 3 leaving our slope to be 3/3 simplified simply being 1

another trick you could use is dividing the denominator by the numerator

Miss Robin distributed a bag of skittles to her students she gave each student five skittles then ate the 8 that remained in the bag if they were only originally 143 skittles in the bag how many students does she have

Answers

Answer:

27

Step-by-step explanation:

First, subtract 8 from 143 which would give you 135. You then divide 135 by 5 and you get 27

Solve the equat: n. -2x+3)+5x=-39 ​

Answers

Answer:

x=-11

Step-by-step explanation:

-2(x+3)+5x: 3x-6

-2(x+3): -2x-6

=-2x-6+5x

-2x-6+5x: 3x-6

3x-6=-39

Add 6 to both sides

3x-6+6=-39+6

Simplify

3x=-33

x=-11

The tepee has a height of 7 feet and 4 inches at its center and it has a circular floor of radius 14 feet. What is the area of the floor of the tepee to the nearest square root? Use 22/7 for pi​

Answers

Answer:

615.999972 ft²

Step-by-step explanation:

you add 2 numbers between 10 and 100 you also subtract them the add answer is at least 30 more than the subtract answer what are they

Answers

Answer:So I calculate 8437−6526=1911. Then I multiply it by minus one to get 6526−8437, which is what I wanted.

Step-by-step explanation:

what can you multiply to get 196 but add to get 53.

Answers

Four and fourty nineI hope this helps !

1.4 km =
140m
1400m
14m
d
14000m

Answers

1 km = 1000 m

1.4 x 1000 = 1400 m

simplify (2^-6)(5)(2^3x5)^2 PLEASE

Answers

Use Photomath it’ll help give

Answer:

125

Step-by-step explanation:

looked it up

solve system by elimination
6.
2x + 5y = 14
4x + 2 y = -4

Answers

Answer:

x=−3 and y=4

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(2x+5y=14)

1(4x+2y=−4)

Becomes:

−4x−10y=−28

4x+2y=−4

Add these equations to eliminate x:

−8y=−32

Then solve−8y=−32for y:

−8y=−32

−8y

−8

=

−32

−8

(Divide both sides by -8)

y=4

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x+5y=14

Substitute4foryin2x+5y=14:

2x+(5)(4)=14

2x+20=14(Simplify both sides of the equation)

2x+20+−20=14+−20(Add -20 to both sides)

2x=−6

2x

2

=

−6

2

(Divide both sides by 2)

x=−3

Step by step:
Multiply the first one by -2 to be able to eliminate the x’s
-4x-10y=-28
Add them
-4x-10y=-28
4x+2y=-4
——————-
X’s cancel out your left with
-8y=-32
Divide by -8 to get y alone
Y= 4
Plug in for y to get x
4x+2(4)=-4
4x+8=-4
-8 -8
————-
4x=-12
x=-3
(-3,4)

 a farmer can cut 1/3 acre of hay every 25 minutes.

What is the farmer’s rate, in acres per hour, for cutting hay?

Answers

Answer:

1  1/4

Step-by-step explanation:

stop cheating on an fsa

Answer:

1 1/4

Step-by-step explanation:

cuz i know :)

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