Question
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
- 83.6 cm³
- 2143.6 cm³
- 2514.3 cm³
- 2220.4 cm³
Hint:
Here, in this problem, the radius of the sphere is given. We are to find the quantity of water that the sphere can hold. To calculate the quantity of water, we have to find the volume of this sphere and for this, we have to use the formula for calculating the volume of a sphere with a given radius. The formula for finding the volume 
of a sphere of radius 
is 
.
The correct answer is: 2143.6 cm³
Given that the radius of the sphere is 
cm.
We have to find the volume of this sphere.
We know that the volume of a sphere of radius is .
So, for 
cm, we get (put 
): 
.
Therefore, the volume of water that the given sphere can hold is approximately, 
.
Note that the value of 
is taken as 
which is an approximate value of . Though it is not exact, we can use this to find the value of a mathematical expression. We can take the value of as 
also.
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The below image is
Correct option is (d).
Reason ; In the given graph , on moving owards x axis from 1 to 4 there is change of there is change of 1.5 unit on y axis but on further movement from point 4 to 8 there is small change of .5 units on y axis .it shows that there is very small and non constant change on y axis hence the graph shows non linear realtionship
The below image is
Correct option is (d).
Reason ; In the given graph , on moving owards x axis from 1 to 4 there is change of there is change of 1.5 unit on y axis but on further movement from point 4 to 8 there is small change of .5 units on y axis .it shows that there is very small and non constant change on y axis hence the graph shows non linear realtionship
