Question

How many completely full bags of wheat can be emptied into a cylindrical drum of radius 1.4 m and height 7 m, if the space required for wheat in each bag is 0.4312 m³.

Answer 1

Answer:

$Number \: of \: wheat \: bags\\emptied \:into \: a\\cylidrical \:drum (n)= 100$

Step-by-step explanation:

Dimensions of a cylindrical drum:

Radius (r) = 1.4 m ,

Height (h) = 7 m,

Space required for each wheat bag = 0.4312 m³

$Let\: number \: bags = n$

$n = \frac{Volume \: of \: the \: the \: cylinder }{Space \: required \: by \: each \:bag}$

$\implies n = \frac{\pi r^{2}h}{0.4312}\\=\frac{\frac{22}{7}\times (1.4)^{2}\times 7 }{0.4312}\\=\frac{22\times 1.4\times 1.4 }{0.4312}\\=100$

Therefore,

$Number \: of \: wheat \: bags\\emptied \:into \: a\\cylidrical \:drum (n)= 100$

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