Answer:
27/4 or 6 3/4
Step-by-step explanation:
( 19 x 4 ) - ( 11 x 2 )
------------------------------
2 x 4
<h2> =</h2>
54/8
54/2
-------------
8/2
Prime numbers are numbers that can be divided without a remainder. So 2181 is divisible by 3 and 727 and there is no remainder.
Answer:
0.25
Step-by-step explanation:
the answer is 1/4 or 0.25 in decimal form
Answer:
please rewrite the function. the latex function did not work.
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
