Question

A cylindrical tank has a capacity of 6160 m^3.find the depth if the diameter is 28 m​

Answer 1

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$\large{\mathfrak{\underline{\green{Step-by-step- explanation:-}}}}$

◖Given:-

•Volume → 6160 $\sf\ cm^3$

•Diameter → 28m

So;

•Radius → 14m

◖To find :-

◖Height of tank

◖Solution:-

$\large{\boxed{\sf Volume \: of \: cylinder - \pi\ r^2h}}$

$\large\to\tt\ 6160 \: = \: \frac{22}{7} \times\ (14)^2 \times\ h$

$\large\to\tt\frac{6160 \times\ 7}{22 \times\ 14 \times\ 14} \: = \: h$

$\large\to\tt\ h \: = \: 10m$

Answer 2

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Given-

❖ Volume = 6160 cm^3

❖Radius =14m

To find -

❖Height

Solution-

$\large\pink{\boxed{\sf Volume = \pi\ r^2h}}$

$\large\implies\sf\ 6160 \: = \: \frac{22}{7} \times\ (14)^2 \times\ h$

$\large\sf\implies\frac{6160 \times\ 7}{22 \times\ 14 \times\ 14} \: = \: h$

$\large\sf\implies\ h \: = \: 10m$

$\large\pink{\boxed{\sf Height = 10meter}}$