The axial section of the cylinder is a rectangle with sides of 6 cm and 10 cm. Find the volume
| May 31, 2021 | education
The axial section of the cylinder is a rectangle with sides of 6 cm and 10 cm. Find the volume of the cylinder and the area of its lateral surface if its height is equal to the larger side of the axial section.
Since the large side of the axial section of the cylinder is equal to the height of the cylinder, then h = 10 cm. The second side of the axial section is equal to the diameter of the base, which means d = 6 cm, respectively, r = 3 cm.
The lateral surface area is equal to the product of the cylinder height by the base circumference:
Side = h * pd = 10 * p * 6 = 60p cm2.
The volume of a cylinder is equal to the product of its height and the area of the base:
V = h * nr ^ 2 = 10 * n * 3 ^ 2 = 90n cm3.
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