The formula for the volume of a cone is V = 1/3πr²h, where r is the radius and h is the height.
We know the radius of the first cone is 24 cm and the volume is 1,920 cm3, so we can use this to find the height:
1,920 = 1/3π(24²)h
Solving for h, we get h = 5 cm
Now, we can use the formula for the volume of a cone again, but with the new radius of 18 cm and the same height of 5 cm:
V = 1/3π(18²)(5)
V ≈ 810 cm3
Therefore, the answer is 2. 810 cm3.
A cone has a radius of 24 cm and volume of 1,920 cm3 What is the volume of a similar cone with a radius of 18 cm
1. 480 cm3
2. 810 cm3
3. 1,080 cm3
4. 1,440 cm3
explain why
1 answer