Mathematics, 10.02.2021 07:10 fuenzalida73

Find the volume of each cylinder. (use nr = 3.14)

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Answer from: Meirna

V = 8591.04 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

V is volumer is radiush is height

Step-by-step explanation:

Step 1: Identify

Radius r = 12 ft

Height h = 19 ft

Step 2: Find Volume

Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)Evaluate exponents: V = π(144 ft²)(19 ft)Multiply: V = 2736π ft³Substitute π: V = 2736(3.14) ft³Multiply: V = 8591.04 ft³

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

Answer from: Quest

answer: 5100 just subtract

step-by-step explanation:

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Find the volume of each cylinder. (use nr = 3.14)
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