Volume and surface area of cylinders

The surface area of a cylinder is given by the formula: $$2\pi rH + 2\pi r^2$$ , where r is the radius and H is the height.

The volume of a cylinder is calculated using the formula: $$V = \pi r^2 H$$ , where r is the radius and H is the height.

The symbol π (pi) represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

Using the formula $$2\pi rH + 2\pi r^2$$ , the surface area is approximately 175.84 mm².

The total surface area is calculated as $$2\pi(5)(10) + 2\pi(5)^2 = 471.24 m^2$$ .

The volume of a cylinder increases with the square of the radius, as seen in the formula $$V = \pi r^2 H$$ .

Increasing the height of a cylinder directly increases its volume, as volume is proportional to height in the formula $$V = \pi r^2 H$$ .

The surface area is calculated as $$2\pi(3)(7) + 2\pi(3)^2 = 188.4 m^2$$ .

If the radius is doubled, the surface area increases by a factor of four, since surface area is proportional to $$r^2$$ .

The lateral surface area of a cylinder is given by the formula: $$2\pi rH$$ .