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3 years ago

Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^3

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

V = $\frac{4}{3}$ πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( divide both sides by 4π )

$\frac{3V}{4\pi }$ = r³ ( take the cube root of both sides )

r = $\sqrt[3]{\frac{3V}{4\pi } }$

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The area of Tracy's backyard is 1 1/3 acres she plants a garden that take up 1/3 of the backyard what area in acres of the garde

attashe74 [19]

Answer:

$\frac{4}{9}\ acres$

Step-by-step explanation:

step 1

we know that

The area of Tracy's backyard is $1\frac{1}{3}\ acres$

Convert to an improper fraction

$1\frac{1}{3}=\frac{3*1+1}{3}=\frac{4}{3}\ acres$

step 2

To find the area of the garden, multiply the area of the backyard by 1/3

$\frac{4}{3}(\frac{1}{3})=\frac{4}{9}\ acres$

3 0

3 years ago

Find the surface area of each shipping package. Which package has the greater surface area? Does the same package have a greater

Kryger [21]

Answer:

greater area: A
no, B has the greater volume

Step-by-step explanation:

The relevant area and volume formulas are ...

A = 2(LW +H(L +W))

V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

<em>Additional comment</em>

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

3 0

2 years ago

A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function

Keith_Richards [23]

<span>2 s; 22 ft 1 s; 22 ft 2 s; 6 ft 1 s; 54 ft i et itdont g</span>

6 0

3 years ago

6. Christopher wants to leave a 15% tip for his breakfast. His breakfast cost $23.00, how

Anestetic [448]

Answer:

$3.45

Step-by-step explanation:

The tip is 15% of his breakfast, that means 15% of 23

That is 15%* 23= 15*23/100= 3.45 $

The tip is $3.45

Have a good day.

7 0

3 years ago

Jamie put 2 3/12pounds of green apples

yawa3891 [41]

Answer:

5 3/4

Step-by-step explanation:

So, lets add the whole numbers together and the fractions together.

2+3=5

3/12+5/12=8/12

8/12 can be simplified to 3/4

so 5 3/4

(Please give brainliest if this helped you, I'm trying to get an achievement)

5 0

3 years ago