Answer:
the volume of the solid is 1024/3 cubic unit
Step-by-step explanation:
Given the data in the question,
radius of the circular disk = 4
Now if the center is at ( 0,0 ), the equation of the circle will be;
x² + y² = 4²
x² + y² = 16
we solve for y
y² = 16 - x²
y = ±√( 16 - x² )
{ positive is for the top while the negative is for the bottom position }
A = b²
b = 2√( 16 - x² ) { parallel cross section }
A = [2√( 16 - x² )]²
A = 4( 16 - x² )
Now,
VOLUME =
=
= 4[ 16x - (x³)/3 ] { from -4 to 4 }
= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]
= 4[ 64 - 64/3 + 64 - 64/3 ]
= 4[ (192 - 64 + 192 - 64 ) / 3 ]
= 4[ 256 / 3 ]
= 1024/3 cubic unit
Therefore, the volume of the solid is 1024/3 cubic unit
Answer:
16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,
Step-by-step explanation:
which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square
if this helped please give me brainliest
Answer: $36.8625
Step-by-step explanation:
From the question, we are informed that Brenda went to Fiesta Mart and bought 1 ¼ pounds of deli meat at $7 a pound and 9 ¾ pounds of rice at $0.45 per pound. The total amount that we spent will be:
= ($7 × 1.25) + ($0.45 × 9.75)
= $8.75 + $4.3875
= $13.1375
If Brenda paid for her purchase with a $50 bill, the change that she will receive will be:
= $50 - $13.1375
= $36.8625
Answer:
Step-by-step explanation:
Given that X is binomial with n = 13 and p = 0.30
Pdf of x is
f(x) =
a) f(0) = P(x=0)
=0.00969
= 0.01
b) f(12) =
4.83(10^-6) ~0.00
c)
Just divide 92 divided by 8 to get 11.5