The two triangles are similar. Which statements are true? Select each correct statement. ∠B≅∠E BDBA=DEBC BDBA=DEAC ∠A≅∠D

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Select each correct statement.

∠B≅∠E

BDBA=DEBC

BDBA=DEAC

∠A≅∠D

Triangle A B C and triangle B D E share the vertex B. In triangle A B C, angle A has one arc, angle B has two arcs, and angle C has three arcs. In triangle B D E, angle B has two arcs, angle D has one arc, and angle E has three arcs.

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Ответ:

makaylagrandsta

15.07.2021

Mathematics

6 cm

Explanation:

Let r = radius of the sphere. Then, the volume of the sphere is given by

Volume = $\frac{4}{3} \pi r^3$ (1)

Since the volume is 288π cm³, equation (1) becomes

$288 = \frac{4}{3} \pi r^3
\newline \indent \frac{4}{3} \pi r^3 = 288\pi
\newline \indent \frac{4\pi r^3}{3} = 288\pi
\newline \indent 3\left (\frac{4\pi r^3}{3} \right ) = 3(288\pi)
\newline
\newline \indent 4\pi r^3 = 864\pi
\newline
\newline \indent \frac{4\pi r^3}{4\pi} = \frac {864\pi}{4\pi}
\newline
\newline \indent r^3 = 216
\newline \indent r = \sqrt[3]{216}
\newline \indent \boxed{r = 6}

$

Hence, the radius is 6 cm.

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