A cone has a height of 11 yards and a radius of 5 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Respuesta :

Answer:  287.83 cubic yards.

Work Shown:

[tex]V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*5^2*11\\\\V = \frac{1}{3}\pi*275\\\\V = \frac{275}{3}\pi \ \text{ ... exact volume in terms of pi}\\\\V \approx \frac{275}{3}(3.14)\\\\V \approx 287.83333\\\\V \approx 287.83\\\\[/tex]

The units for the volume are in cubic yards which can be abbreviated to the notation [tex]\text{yd}^3[/tex]