What is 4(x−2+y)? I need help.

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

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

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago

Is the solution of b x 5/6 = 25 greater than or less than 25

azamat

Answer:

Greater. (30)

Step-by-step explanation:

Simplest way to find out is divide.

Flip 5/6 and multiply.

25 x 6 = 150

150 / 5 = 30

8 0

2 years ago

What is the value ofx in the equation 2(6x+4)-6+2x=3(4x+3) + 1 1 3 4 6

ira [324]

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties
Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

2(6x + 4) - 6 + 2x = 3(4x + 3) + 1

Step 2: Solve for x

Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1
Combine like terms: 14x + 2 = 12x + 10
Subtract 12x on both sides: 2x + 2 = 10
Subtract 2 on both sides: 2x = 8
Divide 2 on both sides: x = 4

8 0

2 years ago

A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose $k=3$ numbers out of $n=17$ possible numbers and find the total amount of combinations since order does not matter:

$\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680$

Thus, you can make 680 three-non-repeating-number codes

8 0

1 year ago

A circle has a circumference of 3600 pi. what is the diameter of the circle

Angelina_Jolie [31]

------------------------------------------------------
Formula
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Circumference = πD

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Find Diameter
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3600π = πD
D = 3600 ← Divide by π on both sides

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Answer: Diameter = 3600 unit
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3 0

3 years ago