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Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h


The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute 



Multiply both sided by r

------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 

Substitute 2r for h in equation 1



Hence, the volume of the sphere is 14m³
Answer:
7
Step-by-step explanation:
Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)
6 + 2x < 22
x < 8
The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.
Answer: A 15
Step-by-step explanation: