Question

If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume is ____(use \(\pi = \frac{22}{7}\))

• A. 154 cm³
• B. 440 cm³
• C. 4400 cm³
• D. 1540 cm³

Answer 1

The Correct Option is D

To solve the problem, we need to calculate the volume of a right circular cylinder with a base radius of \( 7 \, \text{cm} \) and a height of \( 10 \, \text{cm} \), using \( \pi = \frac{22}{7} \).

1. Formula for Volume of a Cylinder:
The volume \( V \) of a right circular cylinder is given by:

\( V = \pi r^2 h \)
where \( r \) is the radius and \( h \) is the height.

2. Substituting the Given Values:
\( r = 7 \, \text{cm}, \quad h = 10 \, \text{cm}, \quad \pi = \frac{22}{7} \)

\( V = \frac{22}{7} \times 7^2 \times 10 \)

3. Simplifying the Expression:
\( V = \frac{22}{7} \times 49 \times 10 \)
\( = \frac{22 \times 49 \times 10}{7} \)
\( = \frac{10780}{7} = 1540 \, \text{cm}^3 \)

Final Answer:
The volume of the cylinder is \({1540 \, \text{cm}^3} \).