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3 years ago

The volume of this sphere is 500pi/3 cubic inches. what's it's radius

Mathematics

1 answer:

Blizzard [7]3 years ago

3 0

Answer:

$r= 5in$

Step-by-step explanation:

$\frac{500\pi }{3} =\frac{4}{3} \pi *r^{3} \\r^{3} =\frac{500}{3} *\frac{3}{4} \\r^{3}=125\\r= 5 in$

{ Bring the number into the equation }

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3 years ago

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(60^o)=\frac{AC}{12}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{AC}{12}$

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Problem 2

The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

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substitute

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3 years ago