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3 years ago

What is the approximate volume of the sphere?

Mathematics

2 answers:

Licemer1 [7]3 years ago

7 0

Answer:

904.32cm³

Step-by-step explanation:

i took the test

kobusy [5.1K]3 years ago

4 0

To get volume for a sphere is V= 4/3 pi radius ^3
so plug 6 in for radius and 3.14 for pi
you multiply it out to get
V=904.78

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Help? plzzzz.........

alexandr402 [8]

Answer:

The answer is E

Step-by-step explanation:

7 0

3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

A snail travels at a rate of 2.36 feet per minute. a. Write a rule to describe the function. b. How far will the snail travel in

Andreyy89

Y = 2.36x....where y is the distance traveled and x is the number of minutes

how far will the snail travel in 6 minutes...so sub in 6 for x
y = 2.36(6)
y = 14.16 ft <==

6 0

3 years ago

The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume

lorasvet [3.4K]

So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
So, We Need To Remember The Formula For Volume Of A Rectangular Prism.
V = B • W • H
So, we need to plug in the known values.
V = 4.9 • 3.8 • 5.4.
So, Lets Solve.
4.9 • 3.8 = 18.62
18.62 * 5.4 = 100.548 cm²
Now We Have:
V = 100.548cm²
It Rounds To 100.5cm²

7 0

3 years ago

Convert 0.00001 to a power of 10. 104 10−4 105 10−5

11111nata11111 [884]

Answer:

10^5

Step-by-step explanation:

the reason is because you move the decimal to the right 5 times, which is the positive direction.

5 0

3 years ago