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:
y= 2/3 x
Step-by-step explanation:
point slope form
y-y1 = m(x-x1)
y-0 = 2/3 (x-0)
y = 2/3(x)
y= 2/3 x
Answer:
2.81
Step-by-step explanation:
.81 has a bar over it.
- 6b > 42 or 4b > - 4
Divide by - 6. Divide by 4.
b < - 7 Or b > - 1
Answer:
148^2
Step-by-step explanation:
2(lb+bh+lh) = 2(4*5+5*6+4*6)=148 in^2