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3 years ago

Solve for x 2x+43+2x=5x+33

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

2(10)+43+2(10)=83
5(10)+33=83 X=10

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PIT_PIT [208]

A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –

A = 2πrh cm²

a) We are asked to find formula for h.

$\qquad$ $\purple{ \bf \longrightarrow A=2 \pi rh }$

First, overturn the equation

$\qquad$ $\sf \longrightarrow 2 \pi rh =A$

Divide both sides by 2πr

$\qquad$ $\sf \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}$

$\qquad$ $\sf \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}$

$\qquad$ $\purple{\bf \longrightarrow h = \dfrac{A}{2 \pi r }}$

b) Again, we are given –

Curved surface area, A = 93 cm²
Radius, r = 2.5 cm
π = 3.1

$\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

$\qquad$ $\bf \longrightarrow h = \dfrac{A}{2\pi r }$

$\qquad$ $\sf \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5 }$

$\qquad$ $\sf \longrightarrow h = \dfrac{93}{15.5}$

$\qquad$ $\sf \longrightarrow h =\cancel{ \dfrac{93}{15.5}}$

$\qquad$ $\pink{ \bf \longrightarrow h = 6\: cm }$

Henceforth, height of the cylinder is 6 cm.

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