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Ede4ka [16]
3 years ago
14

What is the volume of a cylinder in a cubic cm,with a height of 8cm and a base diameter of 14 cm?round to the nearest tenth plac

e
Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

volume of cylinder = 1232cm³

Step-by-step explanation:

from the question

volume of cylinder =?

height of the cylinder = 8cm

Base diameter of the cylinder = 14cm

to solve this problem we need to know the formula to calculate the volume of a cylinder

volume of cylinder = πr²h

                   or

volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.

D= 14cm

d = 14/2

d = 7cm

now,

volume of cylinder = π × (7)² × 8

volume of cylinder = 22/7 ×49 ×8

volume of cylinder = 22 × 7 × 8

volume of cylinder = 1232cm³

therefor the volume of the cylinder is equals to 1232cm³

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2 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&amp;=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&amp;
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

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c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

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2 years ago
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