Given a cylinder with a diameter of 7.5 and a height of 8, find the volume of the total surface area.

univerkov | May 10, 2021 | education

The volume of the cylinder is calculated by the formula V = S * h, where S is the area of the base of the cylinder, h is the height of the cylinder.

The area of the base of the cylinder S is calculated by the formula Ssc = n * r ^ 2, where n is the number Pi, r is the radius of the base of the cylinder.

Let us find the radius of the cylinder r if it is known that its diameter is d = 7.5. The radius is calculated by the formula r = d / 2.

7.5 / 2 = 3.75.

Let us find the area of the base of the cylinder if it is known that its radius is r = 3.75.

Sb = 3.14 * 3.75 ^ 2 = 44.15.

Let us find the volume of the cylinder V if it is known that the area of its base is S = 44.15 and the height is h = 8.

V = 44.15 * 8 = 353.2.

The total surface area of the cylinder is calculated by the formula Sпов = 2 * n * r * h, where n is the pi number, r is the radius of the cylinder base, h is the height of the cylinder.

Let us calculate the total surface area of the cylinder Sпов if r = 3.75 and h = 8.

Spov = 2 * 3.14 * 3.75 * 8 = 188.4.

Answer: The volume of the cylinder is V = 353.2. The total surface area of the cylinder is Sпов = 188.4.

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