MATHEMATICS MIDDLE SCHOOL

The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder? A) 0.26 cubic inches B) 0.52 cubic inches C) 0.79 cubic inches D) 2.66 cubic inches

Answers

Answer 1

Answer:

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

$(2)/(2)=1\ in.$

But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the formula for "Volume of cylinder ":

$Volume=\pi r^2h\n\nVolume=(22)/(7)* 1* 1* 0.25\n\nVolume=0.785\ in^3\n\nVolume=0.79\ in^3$

Hence, Option 'C' is correct.

Related Questions

Twice the difference of a number and 5 is equal to three times the sum of the number and 5. Find the number
(-3 - 5i )(-3 + 5i ) = -16 34 34 - 30
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A state lottery commission analyzes the ticket purchasing patterns of its citizens. The following expression is developed to help officials calculate the likely number of people who will buy tickets for a certain size jackpot. 81a^2-36b^2Factor the expression completely.
What is the percent of 5/9

How do you solve 3(m + 5 + 9m)

Answers

Answer:

30m+15

Step-by-step explanation:

First, collect the like terms: 3(10m+5)

Next, multiply the numbers inside the brackets with 3:

3*10m=30m

3*5=15

So the answer is 30m+15

Answer:30m+5

Step-by-step explanation:

3(m+5+9m)

3m+15+27m

30m+5

Which combination of transformations was used on the top triangle to result in the bottom triangle in the figure below?a translation followed by a 90° counterclockwise rotation

a translation followed by a 180° counterclockwise rotation

a translation followed by a reflection

a reflection followed by another reflection

Answers

A translation followed by a 180 Counter ....

A speedy river barge bound for New Orleans, Louisiana leaves Baton Rouge at 9:00 a.m. and travels at a speed of 10 miles per hour. A rail transport freight also bound for New Orleans leaves Baton Rouge at 1:30 p.m. on the same day. The train travels at 25 miles per hour, both the barge and train will travel 100 miles to reach New Orleans. How far will the train travel before catching up to the barge?

Answers

okay i get it now
1) At 1.30 p.m. the barge has already traveled 4.5 X 10 = 45 miles.

To catch up it will take the train 25-10 = 15miles

Answer:

Step-by-step explanation:

A rail transport freight train also bound for New Orleans leaves Baton Rouge at 1;30 PM on the same day. The train travels at 25 MPH and the river barge travels at 10 MPH. ... the barge leaves at 9:00 am so that would be at 9 hours past midnight. the train leaves at 1:30 pm so that would be at 13.5 hours past midnight.

Write an equivalent expression for 60 + 45

Answers

$60 + 45 = 105$

and so examples of equivalent expressions can be:

$100 + 5$
or
$200 - 95$
or
$(5)/(1) + 10^(2)$

$60+45=60+(40+5)=(60+40)+5=100+5=105\n\nan\ equivalent\ expression:\n\n25+80=105\n\n104+1=105\n\n200-95=105\n\n210:2=105\n\n10+20+40+35=105\n\n2\cdot50+5=100+5=105\n\n110-5=105$

$1050:10=105\n\n20\cdot6-15=120-15=105\n\n\vdots$

A student skipped a step when she tried to convert 15 hours to seconds,and she got the following incorrect result ?15 hours(60 seconds),/1 minute=900seconds

Answers

Answer:

60mins/1 hour

Step-by-step explanation:

Final answer:

The student made an error by skipping the necessary step of converting hours to minutes before converting to minutes to seconds. The correct conversion is: 15 hours is equal to 54000 seconds.

Explanation:

In mathematics, specifically in units conversion, the correct step to convert hours to seconds would be to first convert the hours to minutes, and then convert minutes to seconds. The mistake the student made was skipping the step of converting hours to minutes before converting to seconds. Let's correct the calculation:

First, convert hours to minutes: 15 hours * 60 minutes = 900 minutes.
Next, convert minutes to seconds: 900 minutes * 60 seconds = 54000 seconds.

So, 15 hours is equal to 54000 seconds, not 900 seconds.

Learn more about Converting Hours to Seconds here:

brainly.com/question/35715548

#SPJ2

Which of the following are solutions to the equation below? Check all that apply.(3x + 4)2 = 14

A. x= - √14/3 -4
B. x= - √10/3
c. x= √14-4/3
d. x=√10/3
e. x= - √14-4/3
f. x= √14/3-4

Answers

(3x + 4)2 = 14

(3x + 4)2 means that 2 will multiply both 3x and 4

2 * 3x = 6x 2 * 4 = 8

6x + 8 = 14

Move +8 to the other side of the equation

6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -

6x = 14 - 8

6x = 6

Divide both sides by 6 because of the 6 beside the x : 6x

6x/6 = 6/6

x = 1

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