Answer:
69.12 in, or 22pi in terms of pi
Step-by-step explanation:
Circumference of circle formula: 2piR
Radius of 22 in diameter is 11 in
So, 2pi(11) is about 69.12 in
Step-by-step explanation:
<h2>METHOD 1.</h2>
<h2>METHOD 2.</h2>
<h2>METHOD 3.</h2>
<h2>METHOD 4.</h2>
I believe the answer would be 46 students
> 46 Students in Tom's school are Left-Handed
Answer:
their are 19 inches of snow
Step-by-step explanation:
The volume of the cylinder is:
V = pi * r ^ 2 * h = 64
The surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
We write the area as a function of r:
A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
Rewriting:
A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
A (r) = 2 * pi * r ^ 2 + 128 / r
Deriving:
A '(r) = 4 * pi * r - 128 / r ^ 2
We equal zero and clear r:
0 = 4 * pi * r - 128 / r ^ 2
128 / r ^ 2 = 4 * pi * r
r ^ 3 = 128 / (4 * pi)
r = (128 / (4 * pi)) ^ (1/3)
r = 2.17 cm
The height is:
h = 64 / (pi * r ^ 2)
h = 64 / (pi * (2.17) ^ 2)
h = 4.33 cm
Answer:
The dimensions giving the minimum surface area are:
r = 2.17 cm
h = 4.33 cm
