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3 years ago

What is the exact volume of the sphere?

Mathematics

2 answers:

sasho [114]3 years ago

6 0

We know, Volume of a Sphere = 4/3 πr³
V = 4/3 * π * (12.3)³
V = 4/3 * π * 1860.71
V = <span>2481.156π cm³

In short, Your Answer would be Option A

Hope this helps!</span>

aniked [119]3 years ago

4 0

Answer:

volume of Given sphere with radius 12.3 cm is 7790.83 cm³

Step-by-step explanation:

Given : as sphere with radius 12.3 cm

We have to find the exact volume of the sphere.

Consider the given sphere with radius 12.3 cm

Volume of sphere = $\frac{4}{3} \pi r^3$

We have r = 12. cm

So substitute, we get,

Volume of sphere = $\frac{4}{3}\cdot \pi \cdot (12.3)^3$

Simplify, we get

Volume of sphere = $\frac{4}{3}\cdot \pi \cdot 1860.867$

Using $\pi=3.14$ , we have,

Volume of sphere = $\frac{4}{3}\cdot 3.14 \cdot 1860.867$

Volume of sphere = $\frac{4}{3}\cdot 5843.12238$

Volume of sphere = 7790.829 cm³

Thus, volume of Given sphere with radius 12.3 cm is 7790.83 cm³

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I don't know if it's surjective,injective,bijective or none, please help it's due today

Bond [772]

The given polynomial graph can be classified as; surjective

<h3>How to Interpret Mapping Functions?</h3>

A General Function points from each member of "A" to a member of "B".

It never has one "A" pointing to more than one "B", so one-to-many is not OK in a function

Injective means we won't have two or more "A"s pointing to the same "B".

So many-to-one is not okay (which is Okay for a general function).

As it is also a function one-to-many is not Okay.

Surjective means that every "B" has at least one matching "A". There won't be a "B" left out.

Bijective means both Injective and Surjective together.

It's more like a "perfect pairing" between the sets: every one has a partner and no one is left out.

So there is a perfect "one-to-one correspondence" between the members of the sets.

Looking at the given graph, it is not a one to one as it is clearly surjective.

Read more about Mapping Functions at; brainly.com/question/7382340

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1 year ago

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3 years ago

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

3 years ago

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu

Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

$y_1=9+0.12x$