An ice cream cone with a diameter of 2 inches and a height of 3.5 inches is filled with ice cream and more ice cream on top in the form of a hemisphere with the radius equal to the radius of the cone. Compute the total volume of ice cream it contains.

Answers

Answer 1

Answer:

11pi/6 in^3 or

5.760 in^3 to the nearest thousandth.

Step-by-step explanation:

Volume of ice cream = volume of the cone + volume of the hemisphere

= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3    

= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3             (as the radius = 1/2 * diameter)

=  (7/6 + 2/3) pi

= 11pi/6 in^3.


Related Questions

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?

0.08
0.11
0.33
0.55

Answers

Answer:

.33

Step-by-step explanation:

The difference of the product of 3 and a number -1/2

Answers

Answer:

(3 ⋅ x) - (-1/2)

Step-by-step explanation:

Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)

Hope this helps! :)

10)
3
7

(Click on the picture)

Answers

Answer:

What’s the questio???

Step-by-step explanation:

PLEASE I NEED HELPPPP

Answers

Answer:

r=3

Step-by-step explanation:

12 times 3 is 36

18 times 3 is 54

25 times 3 is 75

what you are doing is plugging in X and seeing what X is multiplied to get Y

r•x=y

Answer:

I really don't know

which grade math is this Caz bro

expand the number 0.398​

Answers

Answer:

00.398

Step-by-step explanation:

Answer:

Do you mean in expanded form? If so it's 0.3+0.09+0.008 I believe.

Need help with geometry.

Answers

Answer:

x = 23

Step-by-step explanation:

m<1 and m<3 will be the same because they are vertical

m<3 and m<5 will be the same (I forgot their relationship)

which means m<5 and m<7 will be the same

which ALSO means that m<1 =7

So you know that m<1 = m<7 (4x -6 = 2x +40)

x = 23

Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?

Answers

Answer:  21600

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help

Answers

Answer: y = 28.8

Step-by-step explanation:

By using ratios

if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8

Y=-1/4x +9 what is the slope and y - intercept

Answers

Well your slope is -1/4 and your y-intercept is 9

Answer:

The slope is -1/4 and the y intercept is at (0, 9)

Step-by-step explanation:

In the equation y = mx + b, m is the slope and b is the y intercept.

Since -1/4 is the coefficient to x in the equation, the slope is -1/4.

Since there is a +9 at the end of the equation, the y intercept is (0, 9).

So, the slope is -1/4 and the y intercept is at (0, 9)

I need help with this I’ll mark you

Answers

Answer:

The answer is C

what is 494 divided by 6.5

Answers

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

4 × 22 + 16 ÷ 4 - (4.9 + 5.5)

Answers

Answer:

81.6

Step-by-step explanation:

4 × 22 + 16 ÷ 4 - (4.9 + 5.5)

88 + 4 - (10.4)

81.6

what is the length of rs? ​

Answers

Answer:

SR=15units

‹RTQ=90° since ‹RTQ and ‹RTS are supplementary

Given that ‹RTQ is a right angle then RTQ is a right-angled triangle making RQ the hypotenuse

With that knowledge we calculate RT using Pythagorean theorem

RT=√(20)²-(16)²

RT=√400-256

RT=√144=12units

Now for triangle RST, SR is the hypotenuse and should have the longest length whose adjacent,ST should also sum up with 16 to give a number which when combined will give the square root of the sum of the squares of RQ and SR

Plug in 9 for ST and SR becomes

√(12)²+(9)²=√144+81=√225=15 units

This is true because SQ=16+9=25 units

and using Triangle RSQ,

SQ=√(20)²+(15)²=√400+225=√625=25 units

A major-league baseball diamond is shaped like a square with side lengths of 30 yards, as shown in the diagram.

Answers

Answer:

42

Step-by-step explanation:

Can someone please help me if you know! Thank you

Answers

Answer:

D

Step-by-step explanation:

the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x

if josh's account balance is greater than it would be josh > vanessa or vanessa < josh

can u pls help me with this question ​

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We know that the artist can complete [tex]\frac{1}{4}[/tex] of a painting in 2 weeks. So, we just have to find half of [tex]\frac{1}{4}[/tex] to find how much of a painting the artist can do in a week, which is [tex]\frac{1}{8}[/tex] because half of [tex]\frac{1}{4}[/tex] is [tex]\frac{1}{8}[/tex].

Hope this helps! :)

Shahwhehehehdjdjendbxbsnenenen

Answers

Answer:

Shahwhehehehdjdjendbxbsnenenen

What is the slope of line M.
What is a?
What is B?

Answers

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

Evaluate the given expression for x=-14. -3x-5

Answers

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​

Answers

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

Which expression is equivalent to 2x^2-
2x + 72

Answers

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

the picture is linked here​

Answers

Answer:

A.

Step-by-step explanation:

In a Linear Function, the changes between x and y should remain constant.

A: x increases by 2 while y increases by 2 steadily so it is a linear function.

B: x increases by 1 and then zooms up to increasing in double (2) while y increases by 2 and then zooms up to increasing to more than double (5) so B is not a linear function.

C: x increases by 3, then one-third of 3 (1), then two-third of 3 (2). y decreases by 6, then one-third of 6 (2), then one-third (2) again when it should have decreased by two-third of 6 (4). Notice that the last decrease was different from x.

D: x increases by 6, then one-third of 6 (2), then half of 6 (3). y decreases by 3, then one-third of 3 (1), then two-third of 3 (2) when it should have decreased by half of 3 (1.5). Notice the last decrease was different from x.

Answer:

pick the answer a

Step-by-step explanation:

Find the midpoint of (6, 1) and (2, 3).

Answers

Answer:

(4,2)

Step-by-step explanation:

4,2 is the answer YEETTTTTTTTTTT

6.203x4.5
Help pls asap

Answers

Answer:

27.9135

Step-by-step explanation:

I need to find the x pls help and show work I need to find the x pls help and show work 377373 so yeah A 73828 I need to find the x pls help and show work

help plz need it so so much

Answers

Answer:

C

Step-by-step explanation:

The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume

Answers

Answer:

[tex]890.75m^3[/tex]

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

[tex]V= \pi r^2h[/tex]

substitute

[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]

Question
20 pts
There are 600 6th grade students who attend Falcon Cove Middle School. 17% of them
believe that Mr. Too Much should be fired for being the silliest teacher they have ever known.
How many 6th graders at Falcon Cove believe Mr. Too Much should be fired?
6th graders at Falcon Cove believe Mr. Too Much should be fired.
Question 2
20 pt

Answers

Answer:

u can ask the tutor and he or she will help u in real time and explain

An example of statistical inference is a. a population mean b. hypothesis testing c. calculating the size of a sample d. descriptive statistics

Answers

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Hypothesis testing. Confidence interval estimation.

Please!!!!! help me fill the blanks. I really need it!!! It due tomorrow!!!!​

Answers

Answer:

The first blank which is in the first row would be 9

The second blank under the 5 is 100

The third blank below the 8 is 160

And the last blank is 240

Step-by-step explanation:

It you do 60 divided by 3, it would be 20, meaning each sweater costs $20.

Answer:

5 shirts=100. 8 shirts=160. 12 shirts.=240. 180$=9

Step-by-step explanation:

1 sweatshirt is 20. 60 divided by 3.

multiply 20 by the sweatshirt numbers for answers

HELP ME WITH THIS. FOR 10 POINTS

Answers

Answer: B. 49 1 hour

Step-by-step explanation: hope this helps

Answer:

49 miles for 1 hour

Step-by-step explanation:

x axis is for hours, y axis is for miles the y axis is up to 49, and x is to 1 so it is B.

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