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faltersainse [42]
3 years ago
7

What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI

NT! It is NOT a whole number. If you can show me a whole number for a radius where the surface area and volume are equal, then any radius bigger than that will have a larger volume.
To get full points you will need to SHOW me formulas for surface area of a sphere, volume of a sphere, and calculations on how you found your answer.
Question 1 options:
The formula for the surface area of a sphere is 4 x pi x radius^2
The formula for the volume of a sphere is 4/3 x pi x radius^3.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
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I’m horrible at graphing please help it says to graph a line with the slope 1/3 passing through the point (3,1)
dimulka [17.4K]
Place a point on the coordinates (3,1). Then from the point go up 1 and to the right 3 for coordinates to your next point (6, 2). Do this again for another point at (9, 3).

Go back to the point (3,1) and do the opposite; go down 1, left 3. This gets you to (0,0). Do it again to get (-1, 3).

Now draw a straight line through all of these dots.
4 0
3 years ago
Does anybody know how to make a pie chart out of this
garri49 [273]

Answer:

Step-by-step explanation:

since it is 100% and the pie chart circle is 360°, then for each % it will be 3.6°

applying this into drawing, just times 3.6° to the percentage and then get the final angle for the data.

--------------------------------------------

if you don't need to be so concise, just see as you fit

3 0
3 years ago
Find the equation of the line with Slope =5 and passing through (9,51)
BaLLatris [955]

Answer:

The equation of the line that passes through the point (9,51) with a slope of 5

is

y=5x+6

Step-by-step explanation:

You want to find the equation for a line that passes through the point (9,51) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(9,51). When x of the line is 9, y of the line must be 51.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (9,51).

So, why not plug in for x the number 9 and for y the number 51? This will allow us to solve for b for the particular line that passes through the point you gave!.

(9,51). y=mx+b or 51=5 × 9+b, or solving for b: b=51-(5)(9). b=6.

4 0
3 years ago
Ath
jarptica [38.1K]

Answer:

1000

Step-by-step explanation:

Primo car rental agency charges $44 per day plus $0.10 per mile.

44+0.10m= 44.1

ultimo car rental: 26+0.55m=26.55

26 + 0.55m = 4 * (44 + 0.10m )

26 + 0.55m = 176 + 0.40m

26 + 0.55m - 0.40m = 176 + 0.40m - 0.40m

26 + 0.15m = 176

0.15m = 150

150/0.15m

m= 1000

5 0
3 years ago
If you get this right I will mark you as a brainliest
Vsevolod [243]
Ans=D
dkdnndndndndnxbdndndn
4 0
3 years ago
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