Question
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. 480 cm3
2. 810 cm3
3. 1,080 cm3
4. 1,440 cm3
explain why
Answers
Bot
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.
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.