What would happen to the volume of the cone if the radius of the base of the cone is tripled and the height is double?
Table of Contents
- 1 What would happen to the volume of the cone if the radius of the base of the cone is tripled and the height is double?
- 2 What happens to the volume of a cone when the height and radius is doubled?
- 3 What is the effect on the volume of a cylinder if the radius is doubled while the height is halved?
- 4 How does volume of cone change with height?
- 5 Is radius half the height of a cone?
- 6 What happens to the volume of a cylinder when the radius is halved?
What would happen to the volume of the cone if the radius of the base of the cone is tripled and the height is double?
The new volume is 4 times as much as the original volume.
What happens to the volume of a cone when the height and radius is doubled?
The volume of the cone depends on the base radius, “r” of the cone, and the height, “h” of the cone. Thus, the volume of the cone gets doubled if the height of the cone is doubled as “h” is substituted by “2h” as V = (1/3)πr2(2h) = 2 ((1/3)πr2h).
Does doubling the radius of a cone double the surface area?
The surface area did increase when the radius doubled, but not as much as the volume. Can you guess why that happened? In this case, the radius is squared, and when calculating volume, it is raised to the third power.
What is the effect on the volume of a cylinder if the radius is doubled while the height is halved?
If the radius of a cylinder is doubled and height is halved, the volume will be doubled.
How does volume of cone change with height?
The volume of a cone of radius r and height h is given by V = 1/3 pi r^2 h. If the radius and the height both increase at a constant rate of 1/2 cm per second, at what rate in cubic cm per sec, is the volume increasing when the height is 9 cm and the radius is 6 cm.
What happens to the surface area of a sphere if the radius is doubled?
Radius is denoted as r. If radius is doubled, then the radius can be written as 2r. Hence, the surface area of the sphere will increase 4 times if the radius of that sphere is doubled.
Is radius half the height of a cone?
A cone is such that its height is equal to one-half of its radius.
What happens to the volume of a cylinder when the radius is halved?
Find the change in the volume if the height remains same and the radius is halved. If the radius of a cylinder is doubled and height is halved, the volume will be doubled.