Mathematics: Item 21 in your pottery class, you are given a lump of clay with a volume of 200 cubic centimeters and are asked to make a cylindrical pencil holder. the pencil holder should be 9 centimeters high and have an inner radius of 3 centimeters. what thickness x should your pencil holder have if you want to use all of the clay

f(-2) = 0f(1) = 12f(2) = 5Step-by-step explanation:f(-2) will lie in the function f(1) will lie in the function f(2) will lie in the function...

Item 21 in your pottery class, you are given a - id213230672, 20jessicacabriales

Ответ:

EmmaPreston43

06.01.2022

Mathematics

The thickness of his pencil holder would be 1 cm.

Step-by-step explanation:

Since we have given that

Volume of lump of clay = 200 cubic cm

Height of pencil holder = 9 cm

Radius of pencil holder = 3 cm

Let the thickness of pencil holder be 'x'.

As we know the formula for "Volume of pipe":

$Volume=\pi (R^2-r^2)h\\\\200=\dfrac{22}{7}(R^2-9)\times 9\\\\1400=22\times 9(R^2-9)\\\\1400=198(R^2-9)\\\\\dfrac{1400}{198}=R^2-9\\\\7.07+9=R^2\\\\16.07=R^2\\\\R=\sqrt{16.07}\\\\R=4.008\\\\R\approx 4$

Since x = R-r

x = 4-3

x=1 cm

Hence, the thickness of his pencil holder would be 1 cm.

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Ответ:

nando3024

14.11.2021

Mathematics

f(-2) = 0

f(1) = 12

f(2) = 5

Step-by-step explanation:

f(-2) will lie in the function f(x) =x^2 - 4

$\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0$

f(1) will lie in the function f(x) =2x^2 +10

$\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12$

f(2) will lie in the function f(x) =5

$\therefore f(2) = 5$

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