Question

Help with part B pleaseee

Answer 1

To find the volume of a cylinder, we must use the formula: V = π * h * r².

Explanation:

It should be emphasized that in order to determine a cylinder's volume, we must first determine the area of its base. A circle's area is determined by the formula A=r2, and a cylinder's base is a circle with radius r. Consequently, r2h is the area of the cylinder's base.

Once we know the size of the base, we can calculate the volume of a cylinder using the formula V = Ah, where Ah is the height of the cylinder and A is the size of the base. Using r2 in place of A results in:

V = πr²h.

Answer 2

πr²h

Explanation:

For part (a), the length of the rectangle is actually πr because the circumference of the circle, 2πr, is divided by 2 to form the two lengths of the rectangle.

So from (a) we have that the area of the base is πr². To find the volume of a cylinder we can consider it as a circular prism. To find the volume of any prism we do the cross-sectional area × height. Therefore the volume of the cylinder will be πr²h.