Question

A 5 m long cylindrical tanker has a radius of 70 cm. Find the number of such tankers required to completely fill a cuboidal tank of dimensions 7 m×2 m×5.5 m.

Answer 1

$\huge\sf{\underline{\underline{\pink{Answer}}}}$

10 number of Cylindrical Tanker are required.

$\huge\sf{\underline{\underline{\pink{Explanation}}}}$

Given,

Height of Cylindrical Tanker = 5 m

Radius of Cylindrical Tanker = 70 cm = 0.7 m

Length of Cuboidal Tanker = 7 m

Breadth of Cuboidal Tanker = 2 m

Height of Cuboidal Tanker = 5.5 m

Let the number of Cylindrical Tanker be x.

Volume of each cylindrical tanker = $\pi r^{2} h$

=> $\dfrac{22}{7} \times (0.7)^2 \times 5$

=> $7.7 \sf{m}^3$

Volume of Cuboidal Tanker =$\sf{ length \times breadth \times height}$

=> $7\times 2 \times 5.5$

=> $77 \sf{m}^3$

Number of Cylindrical Tanker needed to completely fill Cuboidal Tanker = $\sf{\dfrac{Volume\: of\: Cuboidal\: Tanker}{Volume\: of \: each\: Cylinder\: Tanker}}$

x = $\dfrac{77}{7.7}$

x = 10