Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use 3.14 to approximate pi. (Show your work.)

Saras Ice Cream Looks Pretty Normal. It Is Shaped Like A Cone Topped With A Half-sphere. The Cone Has

Answers

Answer 1

Answer: 284.7

Step-by-step explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*[tex]\pi r^{3}[/tex]

                                    =(1/2)*(4/3)*3.14*[tex]4^{3}[/tex]                       (4*4*4=64)

                                    =133.97333

                                    =133.97

volume of cone= (1/3)[tex]\pi r^{2}[/tex]h

                         =(1/3)*3.14*[tex]4^{2}[/tex]*9                                      (4*4=16)

                         =150.72

total volume=133.97+150.72

                    =284.69

                    =284.7


Related Questions

Please solve this problem for me.

Answers

Answer:

It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.

He might have done it backwards.

1/63

and could be 63 miles in 1 hour

63/1.

Because the graph looks good. (i think)

One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?





Please help

Answers

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

Which value is greater 3/8 or 25%

Answers

Answer:

3/8 because 3/8 as a percent is 37.5 percent

Step-by-step explanation:

Answer:

3/8 is greater

Step-by-step explanation:

3/8 as a percent is 37.5

37.5% > 25%

Therefore 3/8 is greater

Tip:

Covent one to the other unit

like 3/8 to a percent or 25% as a fraction.

But if you are looking for which is greater in fraction form then 25%

Houa's family took a road trip to the Grand Canyon. Houa fell asleep 29% of the way
through the trip. If the total length of the trip was 800 miles, how many miles had
they travelled when Houa fell asleep?

Answers

Answer:

232 miles had travelled when Houa fell asleep.

Step-by-step explanation:

1. .29 x 800 = 232

If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Houa's family took a road trip to the Grand Canyon.

Houa fell asleep 29% of the way through the trip.

If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.

29% can be converted to decimal by dividing with 100

29/100=0.29

Now multiply 0.29 with 800

0.29×800

232 miles

Hence, 232 miles had they travelled when Houa fell asleep.

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(emoji) + 3 = -6 { find the value of the emoji }

Answers

Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, X, and the number of cookies, y, that Abigail bought.

Answers

Answer:

Number of cupcakes = 2

Number of cookies = 5

Step-by-step explanation:

Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.

Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.

[tex]3.75x+0.75y=11.25[/tex]

At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]

[tex]y=\frac{11.25}{0.75} =15[/tex]

At [tex]y=0;3.75x=11.25[/tex]

[tex]x=\frac{11.25}{3.75}=3[/tex]

So, plot the points [tex](0,15)\,,\,(3,0)[/tex]

Also,

Abigail bought a total of 7 cupcakes and cookies altogether.

[tex]x+y=7[/tex]

At [tex]x=0;0+y=7[/tex]

[tex]y=7[/tex]

At [tex]y=0;x+0=7[/tex]

[tex]x=7[/tex]

So, plot points [tex](7,0)\,,\,(0,7)[/tex]

From the graph, solution is [tex](2,5)[/tex]

Number of cupcakes = 2

Number of cookies = 5

A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave

Answers

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

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In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and GE = 21 feet. Find the measure of ∠E to the nearest degree.

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer pls. question in photo

Answers

Here is the step by step answer.
%41

• %15 percent raise to 2,000 is 2,300

• 943 is %41 percent of 2,300

how do I solve for x?​

Answers

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Help Please :)
I'm not sure if I'm correct.

Answers

Answer:

You are correct!

Solve the equation 7^{2x}+7^{x+1}+4=0. Correct to 4 decimal places. ​

Answers

Answer:

Step-by-step explanation:

Here is the exact form and decimal form!


Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?

Answers

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

Please help out with this geometry homework I was assigned. And what formula do I use?

Answers

Answer:

[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]

PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?

and

What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?

Answers

Answer:

Step-by-step explanation:

$25.30

and

$68.04

Answer:

25.3 and 77.5 i think

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

c

Step-by-step explanation:If you never know an answer just pick c:)daily life advice

10/2
20/2
50/2
100/2

Answers

Answer:

10/2 =5

20/2=10

50/2=25

100/2=50

Deion finds that the world's population is 7.048 billion and is increasing at a rate of 1.1% per year. Which function
would Deion use to model the growing population in billions, P(t), based on the number of years, t, after this year?

Answers

Answer:

Step-by-step explanation:

I think it’s a


Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number

Answers

Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

what is the slope of the line that passes through (3, 2) and (4, 11)?​

Answers

Answer:

9

Step-by-step explanation:

2-11 = -9

3-4 = -1

-9/-1 = 9

The ratio of two supplementary angle is 3:1. Find the measures of both angles.

Answers

Answer:

The sum of two angle is 180 (supplementary)

given angle = 3:1

first angle =3x

2 nd angle=1x

3x+1x =180

4x =180

x = 180/ 4

x = 45

so first angle =3x   x = 45

                   = 3×45

                    = 135 degree

2nd angle = 1x

               =45 degree

ans

Both angles are 135 and 45

Step-by-step explanation:

The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Give the exact solution. ​

Answers

Step-by-step explanation:

Volume of sphere =4/3pir3

=4/3 X pie X rXrXr

R=diameter /2=10/2=5 inches

V=4/3 X 22/7 X 5 X 5 X 5

= 11000/21=523.8in3

pls help me answer this (multiple choice)

Answers

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =

Answers

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

What is a Triangle?

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

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Can someone help me answer this question

Answers

The answer is 25 cars

Answer: (C) 25 lawns

Step-by-step explanation: he has 15 cars so his you follow the line from the graph it will end at 25 lawns

sorry this is a bad explanation but C is correct-

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?

Answers

Answer:

14 ; 40

Step-by-step explanation:

Number of unpopped popcorn = 1600 kernels

Kernel per popped corn = 120

Number of boxes needed :

Number of unpopped / kernel per popped corn

1600 / 120

= 13.3333

Hence, number of boxes needed = 14

Number of popped kernel. In partially filled box :

1600 - (120 * 13)

1600 - 1560

= 40

Solve for x. (3x + 17) (8x - 46)​

Answers

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

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What is the value of n^-4 w^0 for n=-2 and w=5?

Answers

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

Pls help me with the question in the pic

Answers

729/4096 I think that is correct .-.

Answer:

9/16

Step-by-step explanation:

A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?

Answers

Answer:

1 button.

Step-by-step explanation:

Total buttons = 40

Total red buttons = 6

Total Buttons removed =25

Buttons left = 40–25 = 15

Let the red buttons left = x

1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)

2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)

Comparing Statement 1.) & 2.) , We get

x/15 = 1/3

x = 5

So the red buttons left = 5

Total red buttons= 6

Red buttons removed = 6–5= 1

Hence, only 1 button was red in the 25 removed buttons

There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.

What is probability?

Probability is the measure of the likelihood of an event occurring.

Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.

[tex]p(A) = \frac{n(A)}{n(S)}[/tex]

p(A) is the probability of event A

n(A) is the number of outcomes with respect to A

n(S) is the total number of possible outcomes

Calculating the number of red buttons:

Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.

So the total number of buttons in the bag = 40

It is given that 25 buttons are removed from the bag randomly

thus, the remaining buttons in the bag = 40 - 25 = 15

It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3

So, for finding the number of red buttons in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of red buttons and p(A) = 1/3 and  n(s) = 15 (after removing)

Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5

So, the number of red buttons left in the bag = 5

then, the red buttons removed from the bag = 6 - 5 = 1

Therefore, only 1 red button is removed from the bag.

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