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ddd [48]
3 years ago
10

The volume of a cylinder is the base (B) times the length of its height (h).

Mathematics
2 answers:
levacccp [35]3 years ago
5 0

Answer:

\text{The formula of a volume of a cylinder:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\large\huge\boxed{\bold{B.\ V=Bh}}

Paraphin [41]3 years ago
3 0

Answer: V=B h

Step-by-step explanation:

A cylinder is a solid shape having two circular faces connected by a curved surface.

The volume of a cylinder is given by :-

V=\pi r^2 h, where r is radius of the base of the cylider and h is height of the cylinder.

Here , the base area of the cylinder is:

B=\pi r^2

Thus,  the formula for the volume of a cylinder is given by :-

V=B h

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The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

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... a + b + c = -5 . . . . for x=1

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adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

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Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

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Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

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