5) Calculate the volume of a cone having the radius of the base as 7 m and the height of the cone is 13 m ?

To find the volume of a cone, you can use the formula: \( V = \frac{1}{3} \pi r^2 h \). Plugging in the values, where \( r = 7 \) m and \( h = 13 \) m, we get: \[ V = \frac{1}{3} \pi (7^2)(13) = \frac{1}{3} \pi (49)(13) = \frac{637}{3} \pi \approx 668.05 \, \text{m}^3. \] So, the volume of the cone is approximately 668.05 cubic meters. To visualize this a bit, think about a delicious ice cream cone! The top part, the scoop of ice cream, represents the circular base of the cone, while the cone itself is the actual shape we're calculating the volume for. Next time you enjoy that cone, remember there's science behind its shape and volume!