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3 years ago

Tim has to cover 3 tanks completley with paint.

Mathematics

1 answer:

bija089 [108]3 years ago

8 0

answer:

<h3>Total surface area of 3 tanks=34.3 m^2</h3><h3>7 tins of paint are required.</h3>

Solution,

diameter of tank=1.4 m

Height of tank=1.9 m

Given tank has top and bottom 

Now, The total surface area of cylinder tank is given by:

 $tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h$ 

r( radius of tank)=

 $\frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m$ 

h(height of tank)=1.9 m

TSA of 1 tank

=

 $2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2}$ 

TSA Of 3 tanks

=

 $3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2}$ 

Given a tin of plate covers 5m^2 area.

No.of tins required:

1 tin 5m^2

x tin 34.3 m^2

 $5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins$ 

therefore 7 tins are required.

Hope this helps...

Good luck on your assignment....

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