Question

calcula la altura de un cilindro de 4 m de diámetro y área total
$24\pi \: m {}^{2}$
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Answer 1

Explicación paso a paso:

$area \: total \: = area \: lateral \: + \: 2 \: area \: base$

$area \: lateral \: = 2\pi \times r \times h$

$area \: base \: = \pi \times r {}^{2}$

$24\pi = 2\pi \times 2 \times h + \pi \times 2 {}^{2} \\ 24\pi = 4\pi \times h + 4\pi \\ 24\pi - 4\pi = 4\pi \times h \\ 20\pi = 4\pi \times h \\ h = 20\pi \div 4\pi = 5m$