Answer:
Step-by-step explanation:
We'll call height h.
The equations of a cone and sphere are:
Cones: 1/3 * base area * h
Spheres: 4/3 π * r³
The base area of a cone would be the area of a circle equation:
π * r² = π * 2² = 4π.
Because you're converting from sphere to cone, you would set their equations equal to each other.
1/3 * 4π * h = 4/3 π * 5³
Next, isolate h.
h = (4/3 π * 5³)/(1/3 * 4π)
h = 125
Hope this helps!
Answer:
a. x/3.
Step-by-step explanation:
You divide to find a quotient so it is x / 3.
Answer:
-5
Step-by-step explanation:
y- 1/5x = 7
y= 1/5x +7
So, the slope of the line is 1/5
Perpendicular slopes are always the reciprocal with an inverse sign.
So, -5
It'd be best if you were to enclose that fraction 4/3 inside parentheses:
<span>2>8−(4/3)h
Mult. all 3 terms by 3: 6>24 -4h
Add 4h to both sides: +4h +4h
------------------
7+4h > 24
Subtract 7 from both sides: -7 -7
------------------
4h > 17
Then h>17/4 (answer) Note: We want h to be positive. That's why I moved (-4/3)h to the other side of the = sign.</span>
