Which polynomial is written in standard form ?

Ответ:

kayleegeise

17.04.2021

Mathematics

9514 1404 393

Step-by-step explanation:

Standard form has the highest-degree term first. That is the case only for the polynomial of H.

(The degree of a term is the sum of the exponents of its variables.)

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Ответ:

clemsongirl5392

04.06.2021

Mathematics

answer: the volume of the sphere is 150 cm³

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from the diagram, we can see that

radius of sphere = radius of cylinder

height of cylinder = 2 · (radius of sphere)

the volume of the cylinder is given as 450 cm³.

formula for volume of cylinder:

$v_{\text{cylinder} } = \pi r^2 h$

we established before that the height of the cylinder is double the radius of the sphere. and since the radius of the sphere is the same as the radius of the cylinder, we can say that h = 2r:

$v_{\text{cylinder} } = \pi r^2(2r) = 2 \pi r^3$

using the fact that the volume of the cylinder is 450 cm³, we can solve for r

$\begin{aligned} 450 & = 2\pi r^3 \\ r^3 & = \frac{450}{2\pi} \\ r & = \sqrt[3]{\frac{225}{2\pi} } \end{aligned}$

the volume of a sphere is

$v_{\text{sphere } } = \dfrac{4}{3}\pi r^3$

using the radius we got from above, we calculate as follows:

$\begin{aligned} v_{\text{sphere } } & = \dfrac{4}{3}\pi \left( \sqrt[3]{\frac{225}{2\pi} } \right)^3 \\ & = \frac{4}{3}\pi \cdot \frac{225}{2\pi} \\ & = \frac{2}{1} \cdot \frac{75}{1} \\ & = 150\text{ cm}^3 \end{aligned}$

the volume of the sphere is 150 cm³

Asphere is just enclosed inside a right circular cylinder. if the volume of the cylinder is 450 cm3,

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Which polynomial is written in standard form ?

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