Question

The capacity of a right circular cylinder of radius and height 7 cm and 14 cm respectively is cm$^{3}$.

A 1456 B 2156 C 2420

✨ Free AI Tools for You

Powered by Chatterbot AI

Answer

:

The correct answer is B) 2156 cm³

To determine the capacity of a right circular cylinder, we use the formula for the volume of a cylinder, given by:

$$ \text{Volume} = \pi r^2 h $$

Here, the radius (r) and height (h) of the cylinder are both given:

$$ r = 7 \text{ cm} \quad \text{and} \quad h = 14 \text{ cm} $$

Substituting the values into the formula, we get:

$$ \text{Volume} = \pi \times (7 \text{ cm})^2 \times 14 \text{ cm} $$

Now, using the approximation for (\pi) as (\frac{22}{7}), we have:

$$ \text{Volume} = \frac{22}{7} \times 7 \times 7 \times 14 $$

Simplifying the expression step-by-step:

  1. Cancel the 7 in the numerator and denominator:

$$ \frac{22}{7} \times 7 \times 7 \times 14 = 22 \times 7 \times 14 $$

  1. Perform the multiplication:

$$ 22 \times 7 = 154 $$

$$ 154 \times 14 = 2156 $$

Therefore, the volume of the cylinder is:

$$ 2156 \text{ cm}^3 $$

Hence, the capacity of the right circular cylinder is 2156 cm³.


Was this helpful?

India's 1st AI Doubt Solver for CBSE, JEE, and NEET

Ask a Question for Free

and then it's just ₹212 a month