Question

What is the volume of this cone?

Use π (pi) as 3.14 and round your answer to the nearest hundredth.
Radius: 18 m
Height: 24 m

Answer 1

The volume of the cone with a radius of 18 meters and a height of 24 meters is approximately 8136.86 cubic meters when rounded to the nearest hundredth.

Step-by-step explanation:

To calculate the volume of a cone, you can use the formula:

V = (1/3) πr²h

Where V represents volume, π is Pi (an approximation of 3.14 is used here), r is the radius, and h is the height of the cone. In this question, the radius is given as 18 meters and the height as 24 meters. Plugging these values into the formula:

V = (1/3) × 3.14 × (18 m)² × 24 m

Calculating the squared radius first:

18 m ² = 324 m²

Then, substitute back into the formula and multiply:

V = (1/3) × 3.14 × 324 m² × 24 m

V ≈ (1/3) × 3.14 × 7776 m³

V ≈ 8136.864 m³

Rounded to the nearest hundredth, the volume is approximately:

V ≈ 8136.86 m³