We have a cone with radius 2 and height 6. We are filling it with water. What would be the volume of water if we fill it up to height 3?
Question
We have a cone with radius 2 and height 6.
We are filling it with water.
What would be the volume of water if we fill it up to height 3?
Solution
The volume V of a cone is given by the formula V = 1/3 * π * r² * h, where r is the radius and h is the height.
In this case, we are given a cone with radius 2 and height 6, but we are only filling it up to height 3.
Since the height is halved, the volume will also be halved.
So, the volume of the water in the cone would be 1/2 * (1/3 * π * 2² * 6) = 1/2 * (4/3 * π * 6) = 4π cubic units.
Similar Questions
The formula for volume of a cone is 𝑉=𝜋𝑟2ℎ/3V=πr 2 h/3. Solve the formula for the variable r.
Describe what happens to the volume of a cone when the radius is doubled while its height is halved. The volume is
Find the volume of the cone below if the radius r = 24 cm and the height h = 34 cm (Round your answer to the nearest tenth.)
A cone has a height of 17 feet and a radius of 12 feet. What is its volume?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Calculate the volume of a cone, if the volume is below 12cm 3 , print “Accepted” but if thevolume is equal or more than 12cm 3 , print “Not Accepted”.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.