How does the volume of a cylinder change when its diameter is quadrupled the volume is times greater than the original volume?

How does the volume of a cylinder change when its diameter is quadrupled the volume is times greater than the original volume?

If the radius of a cylinder is x, and the height is y, then the volume of the cylinder will be x²yπ. If every thing is quadrupled then it will be 4x and 4y, Therefore it will become (4x)²4yπ.

How does a volume of a cylinder change when its diameter is doubled?

Explanation: The equation for the volume of the cylinder is πr2h. When the radius doubles (r becomes 2r) you get π(2r)2h = 4πr2h. So when the radius doubles, the volume quadruples, giving a new volume of 80.

How does the volume of a cylinder change when its diameter is halved explain the volume is of the original volume when the diameter is halved the radius?

Answer Expert Verified The answer is: it will decrease 4 times. Therefore, the volume of the smaller cylinder will decrease 4 times.

Does diameter affect volume?

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

How do I figure out volume?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

What happens to volume when dimensions are doubled?

If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

What will be the radius if the volume is doubled?

V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. The volume increases 4 times since the resulting equation is 4 times the original equation.

What is the relation between volume and diameter?

The volume V of a sphere is four-thirds times pi times the radius cubed. The volume of a hemisphere is one-half the volume of the related sphere. Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

Which is the formula for the volume of a cylinder?

Cylinder’s volume is given by the formula, πr 2 h, where r is the radius of the circular base and h is the height of the cylinder. The material could be a liquid quantity or any substance which can be filled in the cylinder uniformly.

What causes the diameter of a cylinder to increase?

We must first determine the change in diameter Δ d which is caused by heating of the cylinder. We use the well-known formula for linear expansion. It is true that: where d0 is the initial diameter of the cylinder, t0 the initial temperature, t1 the final temperature, and α is the coefficient of thermal expansion of brass.

How to find the radius of a cylinder?

How do I find the radius of a cylinder? If you have the volume and height of the cylinder: Make sure the volume and height are in the same units (e.g. cm 3 and cm) and radius in is radians. Divide the volume by pi and the height. Square root the result. If you have the surface area and height (h):

How to calculate the volume of an oblique cylinder?

The oblique cylinder is the one that 'leans over' - the sides are not perpendicular to the bases in contrast to a standard 'right cylinder'. How to calculate the volume of an oblique cylinder? The formula is the same as for the straight one. Just remember that the height must be perpendicular to the bases.