Question

Please help me on this I ma offring 100 points for correct answer please help me and show steps

Answer 1

75.40 km³

Explanation:

Volume of cone = (1/3) X vertical height X π r ²

= (1/3) X 8 x π (3)²

= (1/3) X 8 X 9π

= (8/3) X 9π

= [(8 X 9) / 3)] π

= (72/3)π

= 24π

= 75.40 km³ to nearest hundredth

Answer 2

75.40 km³

Explanation:

The formula for the volume (V) of a cone is given by:

`\sf V = (1)/(3) \pi r^2 h`

Where:

• r is the radius of the base of the cone,
• h is the height of the cone.

Given that the radius (r) is 3 km and the height (h) is 8 km, plug these values into the formula:

`\sf V = (1)/(3) \pi (3)^2 (8)`

`\sf V = (1)/(3) \pi (9) (8)`

`\sf V = (1)/(3) \pi * 72`

`\sf V = 24 \pi \, \textsf{km}^3`

`\sf V \approx 75.39822369 \, \textsf{km}^3`

`\sf V \approx 75.40 \, \textsf{km}^3\textsf{( in nearest hundredth)}`

Therefore, the volume of the cone is approximately 75.40 km³.