Question

A tank is in the form of a cylinder with circular base of radius \(10\) units and height \(7\) units. A mug in the form of cube of side \(2\) units is used to fill the tank. How many mugs of oil is required to fill the tank?

• A. \(275\)
• B. \(280\)
• C. \(282\)
• D. \(268\)

Hint:

When comparing containers, always divide total volume by unit volume.

Answer 1

The Correct Option is A

Concept: Number of mugs required: \[ =\frac{\text{Volume of tank}}{\text{Volume of one mug}} \]

Step 1: Find volume of cylinder.
Volume of cylinder: \[ V=\pi r^2 h \] Given: \[ r=10,\quad h=7 \] So: \[ V=\pi(10)^2(7) \] \[ =700\pi \] Using: \[ \pi=\frac{22}{7} \] \[ V=700\times \frac{22}{7} \] \[ =2200 \] cubic units.

Step 2: Find volume of mug.
Mug is a cube of side \(2\): \[ V=(2)^3=8 \] cubic units.

Step 3: Find number of mugs.
\[ \frac{2200}{8}=275 \] Thus, the number of mugs required is: \[ \boxed{275} \]