Answer:
Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:
Where:
The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
Substitute the values into the formula.
Solve the exponent.
- (4 ft)²= 4 ft * 4 ft = 16 ft²
Multiply the three numbers together.
The volume of the cylinder is approximately <u>384 cubic feet.</u>
Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20
f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200
Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)
8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
Answer C. base side length = 30.6 cm, height = 27.3 cm
