Final answer:
The volume of a cylinder with a radius of 3m and a height of 17m is calculated using the formula V = πr²h, which gives us approximately 480.6723m³. Rounded to the nearest tenths place, the volume is 480.7m³.
Step-by-step explanation:
To find the volume of a cylinder, we use the formula V = πr²h, where 'V' is volume, 'r' is the base radius, and 'h' is the height of the cylinder. Given the base radius of 3m and a height of 17m, we calculate the volume as follows:
- First, square the radius: 3m x 3m = 9m².
- Then, multiply this area by the height: 9m² x 17m = 153m³.
- Finally, multiply by π (approximately 3.14159): 153m³ x 3.14159 = 480.6723m³.
To the nearest tenths place, the cylinder's volume is 480.7m³.