MATHEMATICS HIGH SCHOOL

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radius of the sphere is 3m?

Answers

Answer 1
Answer:

The balloon has a volume dependent on its radius :

Differentiating with respect to time gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of


Related Questions

MIDDLE SCHOOL

What is 4.1 equal as a fraction.

Answers

41/10 it is as a fraction
HIGH SCHOOL

The area of a rectangle is 180 squared in2. The ratio of the length to the width is 5 : 4Find the length and the width. The length of the rectangle is nothing in.

Answers

180 in² - the area

width × lenght - the area

length : width = 5 : 4 therefore length = 5x and width = 4x

(x - some unit of length)

The equation:

(5x)(4x) = 180

20x² = 180     divide both sides by 20

x² = 9 → x = √9 → x = 3 in.

The length = 5x, therefore your answer is:

5x = 5(3 in) = 15in
MIDDLE SCHOOL

Which one is greater 8.3 or 8.03

Answers

Answer:

Number 8.3 is greater than 8 .03.  

Step-by-step explanation:

Given  : 8.3 or 8.03.

To find : Which one is greater.

Solution : We have given  8.3 or 8.03.

In 8.3

We can see Ones place is 8 and tenth place digit is 3.

In 8.03

Ones place is same 8 but the tenth place digit is 0 .

So, the number 8.3 is greater than 8 .03.  

Therefore, Number 8.3 is greater than 8 .03.  

8.3 because .3 is in the tenths place but .03 is in the hundredths place, which is smaller.
MIDDLE SCHOOL

PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x.
What is the measure of the smallest angle?

A.) 13 degrees
B.) 27 degrees
C.) 36 degrees
D.) 117 degrees

please show how to solve this I GIVE THANKS!!!

Answers

If you add everything up then
14x-2=180
14x=182
x= 13
 
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
You first have to know that the measure of the three angles of a triangle= 180 add the terms and equal them to 180 2x+1 + 3x-3 =9x= 180 14x-2 = 180 14x= 182 x=13 This is not what you are looking for, you need to substitute 13 in the original measures 2 (13) +1= 27 degrees 3(13) -3= 36 degrees 9 (13) = 117 degrees therefore the smallest angle is 27 degrees if you add all three angle measure it will = 180 degrees Hope this helps you
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