For this case we can model the problem as a cylinder.
The volume of a cylinder is given by:
Where,
Ab: base area
h: cylinder height
Substituting values in the equation we have:
From here, we can clear the area of the base
Answer:
An equation that can be used to find the area of the circular base is:
[ Answer ]
Y = -12 / 5
[ Explanation ]
Expand:
-3y - 9 = 2y + 3
Add 9 to both sides:
-3y - 9 + 9 = 2y + 3 - 9
Simplify:
-3y = 2y + 12
Subtract 2y from both sides:
-3y - 2y = 2y + 12 - 2y
Simplify:
-5y = 12
Divide both sides by -5:
-5y / -5 = 12 / -5
Simplify:
Y = -12 / 5
<> Arsenal <>
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
*Note: we can't find the exact area of the shaded figure right off the bat, we have to find the area of a bigger figure and divide it by 2.
<h3>The coordinates of the bigger figure:</h3>
A = (0,0)
B' = (0,4)
C = (5,4)
D' = (5,0)
Note: the little [ ' ] next to the B and D indicate that it is not the same coordinate as B and D, just that those points would be the same as point B and D.
<h3>That being said, what is the area of the bigger figure?</h3>
A = l * w
A = 4 * 5
A = 20 units²
<h3>Now, divide the Area by 2:</h3>
A = 20 ÷ 2
<em>A = 10 units²</em>
I hope this helps!
- sincerelynini
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:
24, 64
Step-by-step explanation:
If I add 1 to a multiple of 8 I get a multiple of 5, what multiples of 8
meet the condition? (Mention at least 2 of them)
3 x 8 + 1 = 25
8 x 8 + 1 = 65
