If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)
The total volume of the ball will be;
= Total volume - Volume of hollow part
= 4/3πr³ - 4/3πr³
= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³
= 4 × 3.14 × 9 - 4/3 × 3.14 × 8
= 113.04 - 33.52
= 79.52
If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;
= 79.52 × 3.25
= 258.44 g
Now, if there are 8 spheres in one box, the weight if box will be;
= 258.44 × 8
= 2,067.52 g
_____________________________
Ahh! Finally done with this, if you have any doubt just do ask me :)
Hello!
To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.
This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.
In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.
Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
y = 3x + b (substitute the ordered pair (4, 15))
15 = 3(4) + b (simplify)
15 = 12 + b (subtract 12 from both sides)
3 = b
Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.
Answer:
33 feet.
Step-by-step explanation:
If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion
5.5/3 = x/18 and cross multiply to find x.
5.5 × 18 = 99
3 × x = 3x
3x/3 = x, 99/3 = 33.
x = 33.
Answer:
y = -1/4x - 1.
Step-by-step explanation:
y = 4x + 5
The slope of this is 4 so the slope of line perpendicular to this line = -1/4.
Using the formula y - y1 = m(x - x1):
y - (-1) = -1/4(x - 0)
y + 1 = -1/4x
y = -1/4x - 1.
Answer:
It grows 0.3 cm per day.
Step-by-step explanation:
Divide 3cm by the 10 days. [ 3 / 10 = 0.3 ]
