Question

If the volume of a cylinder is 500 m³ and the area of its base is 25 m², then its height (in m) is

• A. 20
• B. 15
• C. 50
• D. 30

Answer 1

The Correct Option is A

Let the volume of the cylinder be $V$, the area of its base be $A$, and its height be $h$. 
The formula for the volume of a cylinder is given by: $$ V = A \cdot h $$ We are given that the volume $V = 500 \, \text{m}^3$ and the area of the base $A = 25 \, \text{m}^2$. 
Substitute the given values into the formula: $$ 500 = 25 \cdot h $$ To solve for $h$, divide both sides by 25: $$ h = \frac{500}{25} = 20 $$ Therefore, the height of the cylinder is 20 m.