Question

3.(a) A cylindrical tank for storing oil has a capacity of

1078 cm. If its height and radius are equal, calculate
the depth of oil in the tank when full (Take p = 22/7)
(b) Find the perimeter of a rectangular field which is
10 m by 5 m.

Answer 1

a. 7cm

b. 30m

Explanation:

b. Formula of perimeter is 2(l + b)

= 2(10 + 5) = 2(15) = 30 m

a. Capacity of the cylinder is 1078 cm^3 but we have equal radius and height

Let’s call the height h which of course is the depth.

The radius is also h too

Using the formula for the volume of a cylinder;

Mathematically we have;

V = pi * r^2 * h

but in this case;

V = pi * h^2 * h

V = pi * h^3

1078 = 22/7 * h^3

h^3 = (1078 * 7)/22

h^3 = 343

h = cube root of 343

h = 7cm

So the depth of the cylindrical tank when full is 7cm