Answer:
I think the answer is 3 option
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:(1,1)
Step-by-step explanation:
Its asking where both linear and curve lines are being hit,
(fxg)(0)= 1,1
Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by

<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

<h3>Using the above properties</h3>

Thus,
The approximate value for given term is given by

Learn more about logarithm here:
brainly.com/question/20835449