What will happen to the volume of the cylinder if 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.

What happens to the volume of the cylinder with radius?

Doubling the radius will increase the base circular area to be quadrupled due to the squaring operation and thus increasing the volume of the cylinder to 4 times of its original value.

How does the volume of a cylinder change if its diameter is multiplied by 6?

If the diameter is multiplied by 6, that means that the radius would also be multiplied by 6. The volume of a cylinder is V=2πr2h, so instead of plugging in just r for the radius, we would plug in 6r to represent the radius multiplied by 6.

What change can be noticed in the volume of a cylinder if the radius is halved and the height is doubled?

Answer Expert Verified Therefore, in a cylinder, if the radius is halved and the height is doubled, then the volume will be halved.

Is volume proportional to diameter?

So D and V are not proportional.” Another way to see the functional relationship is to plot the data.

How do you find the diameter when given the volume?

The diameter of a sphere formula with volume is, d = (6V/π)^(1/3), where d is the diameter of the sphere and V is its volume. Alternatively, we can substitute the value of V, in the volume formula, V = (4/3) π r3, solve it for r, and make it double to find the diameter.

What happens when the volume of a cylinder is halved?

If the height of a cylinder doubles, the volume doubles. However, if the radius is halved, the cross-sectional area is quartered. The net effect is to halve the volume.

What is the formula to find the volume of a cylinder?

The formula for computing the volume of a cylinder is V = pi * r^2 * h where V = the volume; pi = a constant roughly equals to 3.1415926; r = the radius of the circular base; h = the height of the cylinder.

How do you find the height of a cylinder?

EXAMPLE2Finding the Height of a Cylinder Find the height of the cylinder. Round your answer to the nearest whole number. The diameter is 10 inches. So, the radius is 5 inches. V=BhWrite formula for volume. 314 = π (5)2(h)Substitute. 314 = 25 π h Simplify. 4 ≈h Divide each side by 25π. The height is about 4 inches.

What happens to cross sectional area when volume is halved?

If the height of a cylinder doubles, the volume doubles. However, if the radius is halved, the cross-sectional area is quartered. The net effect is to halve the volume. Let “A” – be the volume of the cylinder with radius “r” and height”h”.