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
the answer would be 67,127 because the number in the ones would be 7 and the tens number would be 2 since it wouldn't more than 1.
67,102
67,135
1-7
67,127
Answer: C. 10
Explanation:
Take half right triangle from the isosceles triangle:
We get side lengths:
12/2 = 6, 8, and x
And use Pythagorean’s theorem to find x:
6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
Yes a cube has eight vertices

make denomenators the same
we have
x+4 and 3
times the fraction with x+4 in denomenator with the fraction 3/3
times the fraction with 3 in denomenator with the fraction x+4
we get

since common denoms, can add them to get


that is simplified