Question

A cone has a height of 17 meters and a radius of 17 meters. What is its volume?

Use - 3.14 and round your answer to the nearest hundredth.
cubic meters
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Answer 1

The volume of a cone with a height and radius of 17 meters is approximately 5149.14 cubic meters, calculated using the formula V = (1/3)πr²h and pi approximated to 3.14.

Step-by-step explanation:

To calculate the volume of a cone, you use the formula: V = (1/3)πr²h, where π (pi) is a constant approximately equal to 3.14, ‘r’ is the radius of the base of the cone, and ‘h’ is the height of the cone. Given that the radius and height of the cone are both 17 meters, we substitute these values into the formula:

V = (1/3) × 3.14 × (17 m)² × 17 m

First, calculate the radius squared (17 m × 17 m) which equals 289 m². Then, we multiply by the height and by 1/3 of π:

V = (1/3) × 3.14 × 289 m² × 17 m

Now we multiply the numbers together:

V = 3.14 × 96.33 m² × 17 m ≈ 5149.14 m³

We round this number to the nearest hundredth:

V ≈ 5149.14 m³

So, the volume of the cone is approximately 5149.14 cubic meters.