Question

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.

Answer 1

Answer: 287.83 cubic yards.

Work Shown:

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

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