!!!HELP!!! PLEASE SHOW WORK SO I CAN UNDERSTAND!A ball shaped like a sphere has a radius of approximately 2 1/8 inches. Which of the following is the best estimate of the volume of the ball? 32 in³ 11 in³ 25 in³ 17 in³
Answers
The only part of this problem that's the least bit tricky is knowing the formula for the volume of a sphere. Here is is:
Volume of a sphere = (4/3) (pi) (radius of the sphere)³ .
Everything else is just arithmetic.
pi . . . use 3.14 Radius . . . 2-1/8 inches. It'll be easier if we write that as 2.125 inches.
Now, just put the numbers into their places in the formula:
Volume = (4/3) (pi) (radius of the sphere)³
= (4/3) (3.14) (2.125)³
and run that through your calculator.
When I run it through mine, I get 40.174 in³ .
None of the choices is anywhere near that number. I'm worried, and I don't understand that.
Maybe we should look back at the question, and notice that it says "estimate" ... something you do quickly in your head.
OK. We know the real formula ... Volume = (4/3) (pi) (radius)³ . How could we estimate this quickly in our head?
pi . . . instead of 3.14, just use 3
radius . . . instead of 2-1/8, just use 2 . Then (radius)³ = 2 x 2 x 2 = 8
Then (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24 = 32 .
Well now, will you look at that ! I guess that's where the 32 came from on the list of choices.
Paulina works out with a 2.5 kilogram mass. What is the mass of the 2.5 kilogram mass in grams?
Answers
2.5 kilograms in grams is 2500 grams.
2.5kg = 2500g
5) Rolanda scored 20, 15and 16 on hefirst three mathquizzes. Jetta scored 16, 19and17 on her quizzes Usingthe mean to compare, whohas the higher math quizscores so far?
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To find mean/average it's fairly simple!! :)
The first thing you should do is add up the first numbers - * 20 + 15 + 16 = 51 :) * 16 + 19 + 17 = 52
Now divide each of the scores by the amount of numbers there is - * 20 (1) 15 (2) 16 (3) * 16 (1) 19 (2) 17 (3)
51 ÷ 3 = 17 (Rolanda's Average Score) - Which # is bigger? 52 ÷ 3 = 17.3 (Jetta's Average Score)
First, whats the defintion of mean? Ill tell you:) Mean: The mean is the average of the numbers; a calculated (central) value of a set of numbers. How to find it? We add all of the scores together and then divide them by the number of scores.
So first lets work on Rolanda's Mean. They gave us the numbers 20, 15, and 16
1st. Lets add 20 + 15 + 16 = 51
2nd. Divide by 3 since their are 3 test scores 51 ÷ 3 = 17 So rolanda's mean is 17!
Now lets work on Jetta's mean. They gave us the numbers 16, 19, and 17
1st. Lets add. 16 + 19 + 17 = 52
2nd. Divide by 3 since their are 3 test scores. 52 ÷ 3 = 17.333333333333333 So jetta's mean is 17.333333333333333
Now lets compare:) Rolanda's mean = 17 Jetta's mean = 17.33333333333333333
Obviously, whos is bigger? Jetta's Mean is bigger :)
Hope this helps! and don't forget 2 MARK ME BRAINLIEST! =)
HELPFor the system below solve using linear combinations method 4x-7y=-2 and 12x-21y=-42
What is the speed of a car that takes 3 hours to go 75 miles
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Dividing 3 from 75, the car would be going 25 miles an hour.
of the 2,400 marathon participants,1,800 of the wore headphones what percent of the participants wore headphones? what percent of the participants did not wear headphone? explain
Answers
1800/2400*100=75%75% wore headphones.100%-75%=25%This leaves 25% who did not wear headphones.