we will find the area of triangle with sides 5y,6y and 9y using herons formula
Answer: The answer is 314.28 cm² (approx.).
Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.
We need to find the area 'A' of the circular cross-section of the pipe.
Given, diameter of the circular section is
![\textup{d}=20~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Bd%7D%3D20~%5Ctextup%7Bcm%7D.)
So, the radius of the circular cross-section will be
![\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Br%7D%3D%5Cdfrac%7B%5Ctextup%7Bd%7D%7D%7B2%7D%3D%5Cdfrac%7B20%7D%7B2%7D%3D10~%5Ctextup%7Bcm%7D.)
Therefore, cross-sectional area of the pipe is
![\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.](https://tex.z-dn.net/?f=%5Ctextup%7BA%7D%3D%5Cpi%20%5Ctextup%7Br%7D%5E2%3D%5Cdfrac%7B22%7D%7B7%7D%2810%29%5E2%3D%5Cdfrac%7B2200%7D%7B7%7D%3D314%5Cdfrac%7B2%7D%7B7%7D%3D314.28~.~.~.~%5Ctextup%7Bcm%7D%5E2.)
Thus, the answer is 314.28 cm² (approx.).
Answer:
20x²+180x + 405
Step-by-step explanation:
Follow PEMDAS to know what you do first
square (2x + 9) by foiling
(2x+9) (2x + 9)
= 4x²+ 36x + 81
Multiply by 5
20x²+180x + 405
Answer:
12862.83cm³
Step-by-step explanation:
Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]
Volume of the Sphere: [
] (
=pi=3.14) (r=radius=15) or [
×3.14×3375] or [14137.17cm³]
Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³
Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)
Hope I helped!
Answer:
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Step-by-step explanation:
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