Question

A cyclindrical water tank has inner radius 3.5 m and depth 21m . find the capacity of the tank​

Answer 1

AnswEr:-

808.5 kilo litres

Step by Step Explanation:-

Given :-

• Radius = 3.5m
• Height = 21 m

We know that,

$\longmapsto\large\boxed{\sf{\red{ Volume \; of\; Cylinder\; = \pi \; r^2 h}}}$

$\longmapsto\sf\; \dfrac{22}{7}\times\; 3.5\times\;3.5 \times \; 21^3$

$\longmapsto\sf\;66\; \times\; 12.25$

$\longmapsto\sf\; 808.5m^3$

$\longmapsto\sf\; 1m^2 = 1000\; L$

$\longmapsto\sf\; 808.5m^3 = 808.5m^3 \times\; 1000$

$\longmapsto\sf\; 808.500 L$

$\rule{150}2$

We know that,

$\longmapsto\sf \; 1000 L = 1 kilo litre$

$\longmapsto\sf\;\dfrac{808500}{1000}$

$\longmapsto\large\boxed{\sf{\red{808.5 \;kilo \; liters}}}$

$\rule{150}2$

Answer 2

$\huge{\underline{\underline{\mathfrak{\red{Solution:-}}}}}$

Given that :-

★ Radius = 3.5m

★ Height = 21m

Find out :-

Capacity of the tank

Then according to the question,

using formula ,

$\fbox{\red{\tt{Volume\:of \:cylinder = \pi\times {r}^{2} \times h } }} \\ \\ \sf\implies \frac{22}{7} \times 3.5 \times 3.5 \times 21 \\ \\ \sf\implies 22 \times 0.5 \times 3.5 \times 21 \\ \\</p><p> \sf\implies 808.5{m}^{3} \\ \\\sf\implies 1{m}^{2} = 1000L \\ \\ \sf\implies 808.5{m}^{3} \times 1000 \\ \\ \sf\implies 808.500litre$

We know that :-

$\sf\implies 1000litre = 1kiloliter \\ \\ \sf\implies \frac{808500}{1000} \\ \\ \sf\implies 8085.0 kiloliter$