Question

There is a cylindrical tank of diameter 1.4 m and height 10 m:

(i) find the quantity of water it can hold in litre.
(ii) find the LSA of cylindrical tank.
(iii) find the TSA of tank.

I want step by step explanation...​

Answer 1

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Answer 2

Diameter=1.4 m
Radius=1.4/2
Radius(r)=0.7 m

Height(h)=10 m
$\pi = \frac{22}{7}$


(1) Firstly find Volume
Volume of Cylinder=πr²h
$\frac{22}{7} \times {(0.7)}^{2} \times 10 \\ \\ \frac{22}{7} \times 0.49 \times 10 \\ \\ 22 \times 0.07 \times 10 \\ \\ = 15.4 \: {m}^{3}$
As You Might Know
1m³=1000 Litres
For 15.4 m³=15.4×1000
=15400 Litres

It can Hold 15400 Litres of water

(2)LSA of Cylinder=2πrh
$2 \times \frac{22}{7} \times 0.7 \times 10 \\ \\ 2 \times 22 \times 0.1 \times 10 \\ \\ = 44 \: {m}^{2}$
(3)TSA of Cylinder=2πr(r+h)
$2 \times \frac{22}{7 } \times 0.7(0.7 + 10) \\ \\ 2 \times 22 \times 0.1 \times 10.7 \\ \\ = 47.08 \: {m}^{2}$
We get

$\boxed{\mathbf{Capacity=15400L}}$

$\boxed{\mathbf{LSA={44\:m}^{2}}}$

$\boxed{\mathbf{TSA={47.08\:m}^{2}}}$