The formula for the volume of a cylinder is

We know the diameter, so we can easily find the radius. The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius. This is equal to 6/2 = 3. Now, we plug our numbers into the formula.

This could also be written:

Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.
<u>B) </u>
<u>C) </u> volume =
.
<u>Step-by-step explanation:</u>
Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :
a) show that 2x^2+5x-58=0
We know that area of rectangle = 
⇒ 
Putting values according to question we get :
⇒ 
⇒ 
⇒ 
b) solve the equation in the question above, giving your answer to 2 decimal places
Solving this equation :
⇒ 
By quadratic formula
⇒ 
⇒ 
⇒ 
⇒
{ Since side can't be negative ! }
⇒ 
c) calculate the volume of the box, stating units of you answer
Since x = 4.28 , other sides are

We know that volume is given by :
⇒ 
⇒ 
⇒ 
Therefore , volume =
.
So if you take 42/100 you get .42
Then you take .42 and multiply it by 28
Giving you the answer of 11.76