Question

A tank in shape of frustum having diameter of top and bottom are 6m and 10m respectively If the height is 3m then how many litres of oil can be filled in it.How nany drums of 200l each can be filled​

Answer 1

Answer:

0.088 litres of oil can be filled

Step-by-step explanation:

4/3×22/7×3×5×5+3×3+5×3 (applying frustum cone formula)

=88cm cube

1l = 1/1000cm cube

so, 88/1000= 0.088 litres

Answer 2

154000 litres of oil can be filled in it. and 770 drums of 200l each can be filled

Step-by-step explanation:

A tank in shape of frustum

diameter  of top = 6 m

diameter of bottom = 10 m

here ,

$r_1 = 3 m \\r_2 = 6 m \\h = 3 m$

volume of frustum = $\frac{1}{3}\pi h (r_1^2+r_2^2+r_1r_2)$

then

volume of frustum =

$\frac{1}{3} \times \frac{22}{7}\times 3 (3^2+5^2+3\times 5)\\\\ \frac{1}{3} \times \frac{22}{7}\times 3(9+25+15)\\\\ \frac{22}{7}(49)\\\\22\times 7 = 154 m^3$

we know that

$1m^3 = 1000l \\154 m^3= 154000l$

number of drums of 200l each can be filled​ = $\frac{154000}{200} = 770$

hence , 154000 litres of oil can be filled in it. and 770 drums of 200l each can be filled​

#Learn more:

A drum can hold 15.5 lites of oil . how many drum are required to fill 294.5 litres of oil?

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