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3 years ago

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Mathematics

1 answer:

uranmaximum [27]3 years ago

4 0

Answer:

volume of sphere = 113.14inches³ or

36πinces³

Step-by-step explanation:

given the radius of a sphere = 3inches

volume of the sphere = ?

π = 3.14v 0r 22/7

recall, the formula for finding the volume of a sphere is given to be = 4/3 πr³

so,

volume of sphere = 4/3 πr³

volume of sphere = 4/3 × 22/7 × ( 3)³

volume of sphere = 4/3 × 22/7 × 27

volume of sphere = (4 × 22 × 9)/7

volume of sphere = 113.14inches³ or 36πinces³

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Little help please? and thank you

Aneli [31]

Answer:

45.7

Step-by-step explanation:

Hello there!

We can calculate the missing angle using trigonometry

here are the trigonometric ratios

sin = opposite over hypotenuse

cos = adjacent over hypotenuse

tan = opposite over adjacent

We are given x's opposite side length (8) and x's adjacent side length (7.8)

we are given the information to use the trigonometric ratio tangent

so now we create an equation (remember tan - opposite over tangent)

$tan(x)=\frac{8}{7.8}$

now we solve for x

$\frac{8}{7} =1.025641026$

we're left with

$tan(x) =1.025641026$

finally we want to get rid of the tan

To do so we take the inverse of tan (arctan^-1) and apply it to each side

$arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243$

so x = 45.7252243

finally we round to the nearest tenth and get that the answer is

45.7

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2 years ago