Is the volume of the cylinder is a same with the volume of the sphere?

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 relationship between the volumes of cylinders and spheres with the same radius and height?

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 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 relationship between radius and volume of a cylinder?

Edit: on further reflection, height and radius are both related to volume. 𝑉 = πh(r^2) and that relationship can be solved for either the height or the radius.

How do you find the volume of a sphere and cylinder?

1. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder.
2. The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together.
3. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).

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.

Are volume and radius proportional?

Short-term goals: For students to understand: The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion.

How does the volume of a cylinder relate to the area of a circle?

The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.

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 the height of the cylinder?

(A) The radius of both the cylinder and the sphere are zero, and so the volume of both the cylinder and the sphere are zero. (B) The ratio of the height of the cylinder to its radius is 1/6. That is, the height of the cylinder is one sixth of its radius.

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.

How do you find the radius of a cylinder?

We know from the formula of cylinder; Volume, V = πr 2 h cubic units. So, 440 = (22/7) × r2 × 35. r 2 = (440 × 7)/ (22 × 35) = 3080/770 = 4. Therefore, r = 2 cm. Therefore, the radius of a cylinder = 2 cm.