Question

# 6 The capacity of a cylindrical fuel tank is 2.5 kl and its height 10 m. What is the area of its base?

Answer 1

The area of base is 0.25 square meter

Solution:

Given that,

The capacity of a cylindrical fuel tank is 2.5 kl and its height 10 m

To find: area of base

The volume of cylinder is given as:

$V = \pi r^2h$

The area of base of cylinder is area of circle

$Area\ of\ circle = \pi r^2$

Therefore,

$V = base\ area \times height$

From given,

h = 10 m

v = 2.5 kl

1 kilo liter = 1 cubic meter

Therefore,

2.5 kl = 2.5 cubic meter

Substitute height = 10 and volume = 2.5

$2.5 = base\ area \times 10\\\\ base\ area = \frac{2.5}{10}\\\\ base\ area = 0.25$

Thus area of base is 0.25 square meter