Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
You have to know the formula for the volume of a cone.
In high school, there's no other way.
Volume of a cone = (1 / 3) π (radius)² (height)
Volume = (1 / 3) π (12 inches)² (15 inches)
Volume = 720 π = 2,261.95 cubic inches
Rounded to the nearest cubic inch, that's<u> 2,262 cubic inches</u>.
3/7 top and bottom are divisible by 12
Looking at the data it looks like a line. So the answer will be in y+mx+b format.
Knowing it is a line eliminates answers b and c.
looking at options a is says it starts at about .1 when x is zero. We can see this looks pretty close as the left-most dot is below 1 already.
The slope on a is 1/2--> increasing 1 vertically for every 2 horizontally. The pattern mostly follows that rule.
Therefore a (y=1/2x+.1) would be the correct answer
Answer:
5:6
Step-by-step explanation:
the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped
