Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>
We can find the radius using the formula
From the question
diameter = 10.59 cm
So we have
<h3>radius = 5.30 cm</h3>
<h2>b).</h2>
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3>
<h2>c).</h2>
Volume of a sphere is given by
r = 5.30
The volume of the sphere is
= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>
Hope this helps you
Answer:
It is a better deal to do the 6.50 for 12 ounces
Step-by-step explanation:
The reason is because the is 16 ounces in a pound so you would do 8.99/16 and you get .56 per ounce but is you do 6.50/12 you get .54 per ounce which is a better deal.
Hope this helped!!
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Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
Answer:
Step-by-step explanation:
To find the area of the inner circle, we need to find its radius. Here, we can write the radius as 4 - x. Now, we can use the formula 
:
A = 
* 
We can expand the square:
A = 
Thus, the polynomial is .
Hope this helps!
