Question

The capacity of a cylindrical tank is $246.4$ litres. If the height is $4$ metres, what is the diameter of the base ?

• A. $1.4m$
• B. $2.8m$
• C. $14m$
• D. $0.28m$

Answer 1

The correct option is D $0.28m$

Volume of the tank$=246.4litres=246400{cm}^3$

Let the radius of the base be $rcm$

Then $\frac{22}{7}\times r^2\times 400=246400$

$\Rightarrow r^2=\frac{246400\times 7}{22\times 400}=196$

$\Rightarrow r=14cm$

Diameter of the base$=2r=2\times 14=28cm=0.28m$