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fiasKO [112]
3 years ago
15

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need  we will need these two equations

Step one

Remember

area of a circle

Area=\pi *\frac{diameter^{2} }{4}\\

Also, the volume of the cylinder

Volume= area of the circle * height

Volume=\pi *\frac{diameter^{2} }{4} *height\\

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters

I hope it helps,have a great day.

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<h3>What is a factorization?</h3>

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Check the picture below.

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\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

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