Mathematics, 18.05.2021 03:40 elisaalonso8805

What is the radius of a sphere with a volume of 797 ft^3to the nearest tenth of a
foot?

Answers: 2

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Answers

Answer from: robert7248

$\displaystyle r \approx 5.8 \ ft$

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Sphere Formula: $\displaystyle V = \frac{4}{3}\pi r^3$

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 797 ft³

Step 2: Solve for r

Substitute in variables [Volume of a Sphere Formula]: $\displaystyle 797 \ ft^3 = \frac{4}{3}\pi r^3$ [Division Property of Equality] Isolate r term: $\displaystyle \frac{2391}{4 \pi} \ ft^3 =r^3$ Rewrite: $\displaystyle r^3 = \frac{2391}{4 \pi} \ ft^3$ [Equality Property] Cube root both sides: $\displaystyle r = \frac{4782^{\frac{1}{3}}}{2 \pi^{\frac{1}{3}}} \ ft$ Evaluate: $\displaystyle r = 5.75162 \ ft$ Round: $\displaystyle r \approx 5.8 \ ft$

Answer from: Quest

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

Answer from: Quest

1. minimum

2. 6400

3. eight

hope this !

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