Question

The circumference of a redwood tree trunk is 18π ft, and it is 100 ft tall. Using a right cylinder to model the trunk, what is the approximate volume of the redwood tree trunk? Option 1: 810π ft³ Option 2: 3,240π ft³ Option 3: 8,100π ft³ Option 4: 32,400π ft³

Answer 1

The approximate volume of the redwood tree trunk is 8100π ft³.

Step-by-step explanation:

To find the volume of the redwood tree trunk, we need to use the formula for the volume of a right cylinder, which is V = πr²h, where r is the radius and h is the height. In this case, the circumference of the trunk is given as 18π ft, so we can find the radius by dividing the circumference by 2π. The radius is therefore 9 ft. The volume can be calculated as V = π(9 ft)²(100 ft) = 8100π ft³. Therefore, the approximate volume of the redwood tree trunk is 8100π ft³, which corresponds to option 3.

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