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2 years ago

What is the volume of this sphere?

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

3 0

<h3>given:</h3>

radius= 4 m

the volume of the given sphere.

<h3>solution:</h3>

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times 3.14 \times {4}^{3}$

$v = 267.9466667 \: {m}^{3}$

$v = 267.95 \: {m}^{3}$

therefore, the volume of the given sphere is 267.95 cubic meters.

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I need help! Please explain with steps how I solve -1/4 - 3/8 - 3/4 - 7/8

Anna11 [10]

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4 years ago

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Riya is applaying mulch to her garden. She applies it at a rate of 250,000 cm3 of mulch for every m2 of garden space. at what ra

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For this case the first thing you should do is take into account the following conversion:

$1m = 100cm$

Therefore, by applying the conversion we have:

$(250,000\frac{cm^3}{m^2})((\frac{1}{100})^3\frac{m^3}{cm^3})$

Rewriting we have:

$(250,000\frac{cm^3}{m^2})(\frac{1}{100^3}\frac{m^3}{cm^3})$

$(250,000\frac{cm^3}{m^2})(\frac{1}{1,000,000}\frac{m^3}{cm^3}) = 0.25\frac{m^3}{m^2}$

Answer:

The rate in m^3/m^2 is:

$0.25\frac{m^3}{m^2}$

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4 years ago

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Question below

Ksivusya [100]

Answer:

$m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right]$

Step-by-step explanation:

Calculate the value of m

Given:

$3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]$

Therefore:

$\implies 3=\dfrac{2}{3}m$

$\implies m=3 \times \dfrac{3}{2}$

$\implies m=\dfrac{9}{2}$

Calculate the value of H

Given:

$\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)$

Therefore:

$\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]$

Calculating m × H

$\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]$

$\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right]$

$\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right]$

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2 years ago

Hi pls help i’ll give brainliest

yawa3891 [41]

Answer:

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Because our solar system is the the Orion Arm of the Milky Way (which is located between the center and the edge of the galaxy).

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3 years ago

A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

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4 years ago