Table of Contents
- 1 What is the ratio of the volume of a sphere and a cylinder if they have the same radii?
- 2 What is the relationship between the volume of sphere and the volume of cylinder?
- 3 What is the ratio of the volume of a cylinder and a cone with equal diameter and same height?
- 4 Which of the following describe the relationship of the volume of cylinder and sphere with the same dimensions?
- 5 What is the relationship of the volume of a cylinder?
- 6 What measurement in a cylinder and sphere need to be equal to their exact relationship?
- 7 What is the ratio of volume of a cone Hemisphere and cylinder?
- 8 What does it mean to recast a sphere into a cylinder?
What is the ratio of the volume of a sphere and a cylinder if they have the same radii?
2/3
Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.
What is the relationship between the volume of sphere and the volume of cylinder?
What is the relationship between the volume of the sphere and the volume of the cylinder? (Answer: The sphere takes up two-thirds of the volume of the cylinder.)
What is the ratio of the radii of the sphere and the cylinder?
Answer: The ratio of the radii of two spheres is 1:2. The two spheres are melted together to form a cylinder of height which is 12 times its radius.
What is the ratio of the volume of a cylinder and a cone with equal diameter and same height?
Now as we know that the height of the hemisphere is the radius of the hemisphere. Hence, the volume of the cylinder cone and hemisphere are in ratio 3 : 1 : 2.
Which of the following describe the relationship of the volume of cylinder and sphere with the same dimensions?
Which of the following describes the relationship of the volume of cylinder and sphere with the same dimensions? A The volume of sphere is one-half the volume of cylinder.
What is the difference between a cylinder and a sphere?
These figures have curved surfaces, not flat faces. A cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat. The sphere is a space figure having all its points an equal distance from the center point.
What is the relationship of the volume of a cylinder?
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
What measurement in a cylinder and sphere need to be equal to their exact relationship?
For a sphere, all you need is its diameter and half of it, its radius. For a cylinder, you need the radius of its base as well as its length or height. Note: When measuring the diameter of a sphere or a cylinder by a metric ruler, it must be placed in between 2 perfectly rectangular objects as shown in Figure 1.
How do you find the volume of a sphere and cylinder?
The formula for the volume of a right circular cylinder is V = πr^2h, where r is the volume and h is the height of the cylinder. The formula for the volume of a sphere is V = 4πr^3/3, where r is the radius of the sphere. Let r be the radius of the cylinder, h be the height of the cylinder, and R be the radius of the sphere.
What is the ratio of volume of a cone Hemisphere and cylinder?
A cone, a hemisphere, and a cylinder stand on equal bases and have the same height. Show that their volumes are in the ratio 1:2:3 Given. A cone, a hemisphere, and a cylinder stand on equal bases. Was this answer helpful?
What does it mean to recast a sphere into a cylinder?
Recasting a metallic sphere into a a right circular cylinder means that the volume is not changed. The volume formula of a sphere is V= 4/3 * pi * r^3 while the volume formula for a cylinder is V = pi * r^2 * h. These two volumes are equal and we equate them in an equation.
What is the radius of base of cone and hemisphere?
A cone, a hemisphere, and a cylinder stand on equal bases. Hence radius of base of cone = radius of hemisphere = radius of cylinder = r