Question

Find the height of cylinder if it has radius 28cm and total surface area is 7.04 meter square.

Answer 1

$\huge{\pink{\underline{\ulcorner{\star\: Solution\: \star}\urcorner}}}$

$\red{\bold{\boxed{Total \:surface \:area\: of \:cylinder = 2\pi r(h+r)}}}$

$\red{\underline {\bold{Given \colon}}}$

r = 28 cm and TSA =7.04 m²

r = 0.28 m

$\red{\underline{\bold{Solution \colon}}}$

2πr(h+r) = 7.04

2π(.28)(h+.28) = 7.04

h+0.28 = 7.04÷(2π×0.28)

h+0.28 = 4.001

h= 4.001-0.28

h=3.712 m

$\red{\underline{Answer}}$

$\green{\boxed{ Height\: of \: cylinder= 3.712 \: m}}$

Answer 2

Hello!

$\star \: \sf r = 28 cm = \bf{0.28 \:m}$

Then,

$\sf Total \:surface\:area = \bf{7.04\:m^{2}} \\ \\ \implies \sf 2\pi r(h+r) = 7.04 \\ \\ \implies \sf 2\pi \times 0.28 \times (\sf h + 0.2) = 7.04 \\ \\ \implies \sf h + 0.28 = \dfrac{7.04}{2\pi \times 0.28} \\ \\ \implies \sf h + 0.28 = 4.001 \\ \\ \implies \sf h = 4.001 - 0.28 \implies \boxed{\red{\bf{h = 3.712 \:m}}}$

Cheers!